I don't think you can remove totally the default minimum and maximum values for DateTimePicker.
You can however set it to be between whatever value you wish as long as values are between both extremes and the minimum value is not greater than the maximum value.
You may want to use the value of
DateTimePicker.MinDateField
instead of
DateTime.MinValue
as they have separate minimum values.
References:
DateTimePicker.MinDate Property (System.Windows.Forms)[
^]
DateTimePicker.MinDateTime Field (System.Windows.Forms)[
^]