No, Fallouts are precursors to infinity, but not infinity engine games. They may look similar, but they're purely turn based and based in Action Points/Round.
Fallout 1 is something that you should play right now, I dare to bet you a beer that there's no other game better than Fallout 1 that you could be playing right now
. It's short (about 15-20 hours), and maybe the best RPG of all time in terms of story concept, quest design and writing. It has its flaws, like all greats; compared to Infinity you'll notice usability limitations. But the sum of the parts is simply mind-blowing. It has things that no other game has done since, but I can't say more without spoiling.