Is it possible to have blinking texts in Console application in linux using C++?

It is much more a problem relatd to the console capability than to the programming language.

As far the console is ANSI compatible, the following code can be used:

<esc>[{attr1};...;{attrn}m

0	Reset all attributes
1	Bright
2	Dim
4	Underscore	
5	Blink
7	Reverse
8	Hidden

	Foreground Colours
30	Black
31	Red
32	Green
33	Yellow
34	Blue
35	Magenta
36	Cyan
37	White

	Background Colours
40	Black
41	Red
42	Green
43	Yellow
44	Blue
45	Magenta
46	Cyan
47	White

So, blinking can be obtained by

cout << "\x1b[5m" << "TEXT" << "\x1b[0m"