can infinity exist without infinite possibilities?

what if the universe was infinite? there could be infinite planets and stars, or there could be a limited number and infinite space. 

but that doesn't necessarily imply infinite possibilities, does it? we might assume that if there's infinite space and a whole lot of matter, that there must be infinite possibilities, but that is a big assumption. in an infinite possibility universe, i would be in better shape and get lots of models as girlfriends in some of those possibilities or alternate universe. but if there's limited possibilities in an infinite universe, then that assumption is false. 

what say you? 

There is no need for infinite possibilities so long as there is infinite repetition.

Infinite space is possible, yes. Repetitive or not, it is possible. Its the infinite time thats not possible, logically.

Also, alternative explanation without proof does not refute infinite possibilities.

Possibility by definition is not something that must happen, simply something that can happen.

The universe may be infinite, but we can only analyze a finite part of it (the part in which light has had time to reach us). As far as we can see, there are galaxies in every direction with no sign of slowing down. We've seen no sign of an edge of the universe.

Simple. Infinite time cannot pass.

Since time is divided on

Past - Present - Future

If time was infinite, past would be infinite.

Past has to pass for present to occur.

Infinite past cannot pass and present can never occur.

I would say that using Newtonian physics it is possible to slice any limited distance into an infinite number of segments of space.

Therefore, the arrangement of at least space could be of infinite possibility even if there is not an infinite amount of matter.

I agree that infinite time is logically impossible but also believe that infinite space is logically impossible. In order for infinite space to exist, infinite time would also need to exist. Infinity is only possible as a concept.

the smallest known measurement is plank's length. i dont know if that's the smallest that can be measured, or the smallest possible, but even if it's the smallest measurable, we can't know if it's possible to get smaller. 

Half a Planck's length would be smaller.

Or do you mean a plank of wood?

Infinity is a mathematical concept, an actual infinity is logically incoherent, even if one could exist, we couldn't know it.

For an actual imnfinity you would need to haver a "completed" set with an infinite number of members, which is logically incoherent as a completed set and an infinite set are mutually exclusive concepts.