IMO, this sounds more like a philosophical question rather than an astronomical question, but since I like both subjects, I'll give it a shot.
Note: This is hypothetical question, so this answer is purely subjective (and hypothetical).
Infinity
- If the number of stars is infinite, so would the numbers of humans.
I believe that in every system where an entity of infinity is introduced, all other entities will (eventually) be infinite. But, (and this is the fun "part") you cannot measure infinity. It would give you infinite results over a time span of infinity.
Take your example for instance. If there were infinite numbers of stars.
Picture youself flying around in a spaceship with the goal to find out if this question is true or not. What do you see? "Worse case" scenario; you see only stars. Wherever you go. Forever. The opposite; only humans.
One might think that it's the "in between" that is the most likely scenario. But given the probability theory, we should flatten out at approx. 50%.
Finite
If there is a finite numbers of stars then I think it's "safe" to conclude that there ain't an infinite number of humans as we're all made of starstuff.
Conclusion
Yes: If there's an infinite numbers of stars.
No: If there's a finite numbers of stars.