I guess anything is possible, though they're still recording the score as of just last week. There have already been music recorded for the movie, so maybe the game makers were allowed to use what's been done.
They sound like cues from Star Wars: The Old Republic or Star Wars Kinect. I can't be certain for sure but a lot of the cues in those games were written to sound like the prequel scores. Cues were almost carbon copies with a couple of notes adjusted here and there but the temp was obvious! I mean, in your second video the opening is almost identical to the first half of the track "Qui-Gon's Noble End" from The Phantom Menace.
Time to put this rumor to a rest. No, it is not from TFA. It is music composed by Gordy Haab specifically for Star Wars: Battlefront. That's all I can say right now. Gordy also worked on SWTOR and Kinect: Star Wars.
