Can a left-handed person play right-handed drums?
As a southpaw, you are probably more comfortable with your left hand playing the hit hat. But this means you need to mirror the drum kit and set it up in a completely different way than a right-handed drummer would. But isn't it possible for a left-handed person to play right-handed drums? Yes, of course.
Can left-handed learn right-handed?
It's a matter of experimentation. Some left-handers play right-handed. Some left-handers play a right-handed guitar, but hold it with the neck to the right, so the bass string is nearest the floor. They learn the chord shapes up-side-down.