With Japan sales, I highly doubt that the One will beat the PS4. However, considering you said without Japan, I'm going to say there is a chance, though still not likely. If rumors are true that the One's sales are down quite a bit in January's NPD, things will only get worse by March. And it will be worse in EU. Sony, on the other hand, is still having trouble fully keeping up with demand. While demand will probably drop by the time Titanfall comes out, sales will still be stabilized quite a bit above the One.
Of course, there's also the fact that a lot of new info is starting to come out for Titanfall that's not really putting the game in the brightest light. It looks to be another 720p (maybe slightly higher) game with subpar graphics, so not really a showing of the One's power (quite the reverse.) The matches are only 6 vs 6, with poor AI bots to fill in the spots to make battles seem more epic. Don't get me wrong, it seems to be shaping up to be a fun game that I'm sure that One owners will enjoy, but it definitely isn't going to lead gamers to buy the One in droves. Especially, when it also comes out on the PC and 360.