Yes, you can actually.
From what I have heard the guy I spoke to waited until the last day of the season to use the player trainings he got from the Draw Frenzy event, also he has 1* players to drastically reduce his rating,if you have let s say 28 players, you can send 14 in player academy with the trainings you got from the Draw Frenzy.
If it weren t for the Draw Frwnzy the guy would have had limited Player Trainings(or whatever they are called)....
I hate that event so much, my god...