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No, not really. By the same logic star power (and any usable energy in the universe) is technically limited as well. There will eventually be no more stars. >

Sometimes when a star dies remaining material form new stars (i.e. "renew"), but an individual star cannot reverse its course of life.
Human resource is a renewable resource but an individual human is not. >

Entropy will eventually lead to there being no more star formation (and, on an even longer timeline, no usable energy, period). >

Yes but many stars can be born before that happens. Any individual star is doomed. 
Nothing's limitless but some things can renew while others simply can't.