Is it a good idea to study the reverse opening of a opening for example I play the colle system which one of my engines says is also called  the reverse gruenfield defence?

Since the pawn structures will often be similar, there are advantages to noticing how those influence play. However, the dynamics of reverse openings are often not identical at all due to who has the tempo, which - interestingly enough - makes some defenses for Black viable but in reverse yield no particular advantage to White.

Reverse Gruenfeld?  Wouldn't it be more the Reverse Semi-Slav?  And btw "Reverse" usually means that Black's playing a White opening.  When it's the other way around, it's usually called "Attack."

your probably right but my question is still can studying the other help.

I would say don't try it.  It's surprising how different reversed openings can be (and usually are), and you would probably throw yourself off more by making such comparisons than it would help your game.