fuel pump cutting out. Could it be battery?

Hello all
I have an 08 outlander 500 and it was stalling after about 30 minutes of riding. I posted in the form before and everyone was pointing at the fuel pump. I haven’t been out this year yet and when I went to start it up the battery was dead. I boosted it and got it running. Went for about a 10 minute drive. Pulled it in the shop shut it off, put my fuel pressure gauge on it and flipped on the key. Had 40 psi. But it wouldn’t turn over. Boosted it again, got it running and had 51 psi. Would the problems before be caused by a bad battery?
Also have a leaky water pump. Going to tackle that next.
Thanks