Do you mean something like: There exists a multiverse in which the soul gets to choose which element of the multiverse it resides in moment to moment. So while each element of the multiverse (a particular reality) is completely deterministic, the one experienced by the soul is chosen.
Sure, if you want to keep the 'influence' between the two systems to a minimum.
If you allow the mutation of the subset reality by a soul in the meta-heaven, then you can have it all operate in a single universe; the soul is capable of adjusting the nondeterminism of particles in the brain, thereby making decisions happen that appear random to us, but are informed by a higher system of reasoning. In the way that a programmer might adjust constants, or a video game player might choose stats.
And just want to reiterate: I'm not trying to advance this explanation! Just fun to think about.
