It's definitely in a little bit of a gray area, but I would say it can be done.
You have to deepstrike into your deployment zone on turn 1. Then you have to successfully cast a psychic power to move a single unit across the board. There is the possibility that you fail or it gets denied. And it's only one unit, so it's not like your whole army is suddenly in your opponents face on turn 1 again, which is part of the purpose of the Beta Rule.
It may seem like a cheesy way to get around the rule, but we've been told things like Gate still work on turn 1.
I think the biggest counter to my argument is whether using Gate counts as moving the model. If it does count as moving, then it can't be done because the deepstriking unit cannot move after coming on the board.
I would suggest discussing it with your opponent before any games and see what they say. That will avoid any gotcha moments for your opponent and any arguments mid-game when it counts.