Yes, your TA-05 can be used for drifting.
Just put a set of drift tyres on to get started. I found HPI's brief introduction to be one of the easiest to understand - http://www.hpieurope.com/walk.php?lang=en&id=19
There are a few more tweaks that some drifters like to do to the drivetrain and the suspension, and for some of the more EXTREME tweaks you would need a drift-specific car. But you can have plenty of fun with your TA-05.
4wd is the best platform for RC drifting.