No, humanity decided that infinity doesn't exist and anyone trying to tell you about it is selling you religion.
i can't think of any case where exponential growth actually happens, though. exponential decay and logistic curves are common enough, but not exponential growth
Hmm.
Not sure if it matters, but I'd note logistic curves can be hard to distinguish from an exponential for long enough that the difference isn't always very consequential — a nuke exploding doesn't keep doubling in power every few microseconds forever, but for enough doubling periods that cities still get flattened.