If I moved the fuel filter from under the car and put under the hood would there be a problem arise ?

Depending where the fuel filter is under the hood, higher temperatures could make the fuel boil inside the filter which is a bad thing.

Should be ok. just keep it away from exhaust manifold in case it leaks.

It can be done but the big question would be why?

Seems like a make-work project to me...

As long as there is an adapter, you can do that alright.

Nope. The designers of the vehicle, ne-ALL vehicles must have oveooked that particular convenience.

WHY???? Why not clean the crud out of the tank that keeps plugging it up a fuel filter doesn't need to be changed for years.

They are not fitted under the hood fire safety reasons on a crash.

Why do you want to make your car less safe?

Really have to ask: Why?

Are you crazy. See a professional mechanic.

Sure, back in the 70's they were up by the carb.