Basically yes.  It goes further than that though. The nature of information is that it is material, that is to say: real. It is real in much the same sense as say, potential energy. The implication is that we cannot have infinite precision about anything, not only we, but nothing else in nature as well. It it could, the sheer gravitational effect of even a sufficiently large (never mind infinite!) amount of information about the state of a billiard ball  would cause gravitational collapse!

So you can see that there are many ways in which quantum uncertainlty and indeterminism ties in with the nature of our world. On the other hand the impossibility of determinism  does not forbid causality of course.

So, all right, we would need infinite precision, if we could have it, which as I said we can't, to get determinism. But though necessary, I am not sure that infinite information would be sufficient. Or possibly it would, but only if we had more than one class of infinite information. For instance, there are many classes of chaotic system where anything more than zero error would lead to exponentially growing deviation from prediction. Consider the behaviour of spherical (or any other convex objects) bouncing off each other for example. Even if we did aim them perfectly, the beta decay of a tritium atom in the Andromeda galaxy would suffice to disrupt the system some 2300000 years later.

There is always some future disaster to worry about.

Am I right? I don't know; you tell me! I don't have infinite information on the matter...

Oh dear!

Jon