yes, well, that's at least what they say. But, you know, Tesla was Serb from Croatia (in the light of Balkan wars he is now more famous here by his words "I am equally proud of my Serbian nation and my Croatian homeland" then by his inventions), and Balkan nations are mythology lovers.
So, even when someone is so famous and so great as Tesla, it's quite possible that Croats and Serbs will make up something else
His inventions are not enough, so let's say that he invented few other things as well
But, I have heard several times story about the bulb, so it might be true, especially since he was, unlike Edison, very introverted person
Addition: I just came home from river Korana, and as every afternoon I was swimming and then resting (chating, watching girls, having fun) on my favourite spot - Korana waterfall, same waterfall where Tesla almost died (he was saved by milkmen from other side of river that used to bring milk to town every morning back then).