Yes, there are (the many worlds interpretation and the Bohmian "pilot wave" interpretation are the two that come immediately to mind). I don't see what that has to do with "block universe", however, since that is an interpretation of relativity, not quantum mechanics.
We must be talking about different things. Block universe is the theory that the universe is fixed in advance (deterministic) as a 4 dimensional “block” (more dimensions to include many worlds, I suppose?) and we’re just exploring one probabilistic trace through it.
> more dimensions to include many worlds, I suppose?
There is no spacetime model of many worlds at all, as far as I know. Many worlds as an interpretation of QM is based on non-relativistic QM.
The "space" in which quantum states "live" is not spacetime but Hilbert space. "Many worlds" is really a misnomer in the sense that there is only one quantum state in Hilbert space. But quantum states in Hilbert space can have relationships to ordinary space that are not at all like those in classical physics: for example, a single quantum state can describe a system containing multiple entangled particles that are spatially separated; in such a state no particle by itself has any definite state at all (which is impossible in classical physics). That is true regardless of which QM interpretation you adopt.
Block universe, as a theory, is based on classical (non-quantum) relativity, and its model of 4-dimensional spacetime. It is not based on QM. Non-relativistic QM does not even use spacetime. Relativistic QM, aka quantum field theory, does use it, but is not a deterministic model and does not treat spacetime as fixed in the sense of all events within it being determined in advance.
> we’re just exploring one probabilistic trace through it
There is no such thing as a "probabilistic trace" through a deterministic 4-dimensional spacetime in which all events are fixed in advance.
