No and no. And no (as in no, you're not retarded, LOL). It's related to FFT in the sense that it also happens in Ivalice, but either in a "parallel world" Ivalice, or far earlier in time than FFT (this is still a matter of debate, including on these boards, but the developpers of the game haven't been clear about that). It's also basically the same team behind the two games, at least originally (Matsuno left before FF XII was completed).
FF XII is a classic RPG based on ATB, like most previous FF (and unlike FFT and FFTA which are both Tactical and turn-based), although it is different in many other aspects of the gameplay from all previous console FFs (but has similarities with FF XI, hence Paul's answer![]()