In the limit, energy is not a renewable resource, thanks to entropy. In that sense
all energy is a "fossil fuel" left over from the Big Bang. However any Kardeshev type I civilization (located on one planet) will be satisfied with nuclear fission's power output for a time frame beyond our ability to predict into the future; that is, if we here in 2019 try to arrogantly predict that "there's a power crisis coming in 500 years!", it is
very unlikely that 2519 is going to hail us as forward-thinking smart people, because the odds of something critical changing between now and then approach 100% [1]. Let alone several thousand years from now.
These predictions also generally include a healthy amount of assuming growth of energy in the future, too, not just projecting today's use indefinitely (although not necessarily predicting exponential growth either).
This also ignores what I would consider fairly good odds of non-terrestrial sources we may find on that time frame. Plus I'm still holding out hope that one of our fusion approaches will eventually pay off. (Dyson spheres are nice & all but there's still something to be said for being able to generate power in concentrated manners where you want it, rather than having to collect it at scale from an uncontrolled reactor.)
[1] For the fashionably misanthropic among us who may feel that statement may contain too much optimism, "total civilization collapse" would be such a "critical change".