No. For all practical matters, accessible space is FINITE, and actually gets smaller all the time due to accelerating expansion of the universe. In about 150 billion years all galaxies outside the Local Supercluster will pass behind the cosmological horizon.
"For all practical matters, accessible space is FINITE"
I think, this is what I said:
"But the question is always, how much of that is within our reach."
Currently that is only earth. With some steps up, you can have all the other planets in this system plus the asteroid belt. Step further up and you have lots and lots of other star systems, the cosmological theoretical limits you are citing are not really an issue on the timeframe that matters to us - space tech is and the limits how fast we can make rockets, or find other ways to take a short path.
I think, this is what I said:
"But the question is always, how much of that is within our reach."
Currently that is only earth. With some steps up, you can have all the other planets in this system plus the asteroid belt. Step further up and you have lots and lots of other star systems, the cosmological theoretical limits you are citing are not really an issue on the timeframe that matters to us - space tech is and the limits how fast we can make rockets, or find other ways to take a short path.