is there way to style object into animation?

I'm going to assume by "bottom" you mean Button.

Adding animation to a style is not much harder that adding a change to any other property of the control you're styling. Granted, you need to declare how and when the animation kicks in but there are a lot of good resources for that explain this;
Button styles[^]
Animation in WPF[^]

Below is a brief example that shows how to animate both background color and width on mouse over:

<Window x:Class="ButtonThingy.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        Title="Button Style Window" Height="350" Width="525">
    <Window.Resources>
        <Style TargetType="{x:Type Button}">
            <!-- Define the template -->
            <Setter Property="Template">
                <Setter.Value>
                    <ControlTemplate TargetType="Button">
                        <!-- x:Name here is required because the Storyboard needs to know its target -->
                        <Border TextBlock.Foreground="{TemplateBinding Foreground}" x:Name="Border" CornerRadius="2" BorderThickness="1" Width="200" Height="100">
                            <Border.Background>
                                <LinearGradientBrush StartPoint="0,0" EndPoint="0,1">
                                    <LinearGradientBrush.GradientStops>
                                        <GradientStopCollection>
                                            <GradientStop Color="Silver" Offset="0.0" />
                                            <GradientStop Color="Green" Offset="1.0" />
                                        </GradientStopCollection>
                                    </LinearGradientBrush.GradientStops>
                                </LinearGradientBrush>
                            </Border.Background>
                            <Border.BorderBrush>
                                <LinearGradientBrush StartPoint="0,0" EndPoint="0,1">
                                    <LinearGradientBrush.GradientStops>
                                        <GradientStopCollection>
                                            <GradientStop Color="Silver" Offset="0.0" />
                                            <GradientStop Color="Green" Offset="1.0" />
                                        </GradientStopCollection>
                                    </LinearGradientBrush.GradientStops>
                                </LinearGradientBrush>
                            </Border.BorderBrush>
                            <!-- Define state transitions, these are animation that affect properties set above -->
                            <VisualStateManager.VisualStateGroups>
                                <VisualStateGroup x:Name="CommonStates">
                                    <VisualStateGroup.Transitions>
                                        <VisualTransition GeneratedDuration="0:0:0.5" />
                                    </VisualStateGroup.Transitions>
                                    <VisualState x:Name="Normal" />
                                    <VisualState x:Name="MouseOver">
                                        <Storyboard>
                                            <!-- First animation just changes the background colour -->
                                            <ColorAnimationUsingKeyFrames Storyboard.TargetProperty="(Panel.Background).(GradientBrush.GradientStops)[1].(GradientStop.Color)" Storyboard.TargetName="Border">
                                                <EasingColorKeyFrame KeyTime="0" Value="Blue" />
                                            </ColorAnimationUsingKeyFrames>
                                            
                                            <!-- This animation changes the width of the button -->
                                            <DoubleAnimationUsingKeyFrames Storyboard.TargetProperty="Width" Storyboard.TargetName="Border">
                                                <EasingDoubleKeyFrame KeyTime="0" Value="300"/>
                                            </DoubleAnimationUsingKeyFrames>
                                        </Storyboard>
                                    </VisualState>
                                </VisualStateGroup>
                            </VisualStateManager.VisualStateGroups>
                            <!-- This defines where the content, if this case "I am a button", goes inside the template -->
                            <ContentPresenter Margin="2" HorizontalAlignment="Center" VerticalAlignment="Center" RecognizesAccessKey="True" />
                        </Border>
                    </ControlTemplate>
                </Setter.Value>
            </Setter>
        </Style>
    </Window.Resources>
    <Grid>
        <!-- Button picks up the style above automatically because no style is explicitly set -->
        <Button Content="I am a button"/>
    </Grid>
</Window>

Hope this helps,
Fredrol