Can you car check cars in the overworld ?

It all depends on the weight of the car you're using and the speed you're driving at, but generally, no, as there's no real "checking" feature in this game.

At lower speeds, lighter cars can hit the bumpers of some cars without wrecking, but I wouldn't advise doing so.

The closest you'll get to checking is by using the Ford Raptor (The pickup truck), as that truck can plow through cars at decent speeds.

But yeah, to put things in perspective: If you've ever played Burnout Paradise, hitting civilian cars pretty much works like it did in that game, only there's an even finer line between crashing and not now.