Nope not enough time. You need to check in at the podium of Boma at least 10 min. prior to your ADR, so you'd have to be there at 4:50. The walk from the gates of AK to the bus for AKL is a few minutes, and near closing time, you may be in a very long line for the next bus, which could be right there waiting, or not for another 20 min. At closing you may even need to wait for a 2nd bus if the 1st one is full. Once on the bus it's a 5-10 min. ride to AKL (not sure if this run has a stop at Blizzard Beach as well or not). Once off the bus at AKL you have to enter the lobby & then make your way down to the ground floor level to get to Boma.
I would leave by 4:00 at the latest to give yourself enough time. Or, try to make your ADR later so you have more park time.
If you're driving your own car, you may possibly be able to make it, depending on where in the AK parking lot you are parked, and how quickly you can park once at AKL. I'd still leave the park gates by 4:15 at the latest, if driving yourself.
If you're taking a cab, I'd also suggest leaving at 4:15, or earlier.