It can be an influence, but there is more to it than that.
Its the actual stability of the circuit that determines how much it will exacerbate ticks and pops. The stability is not based on feedback. Feedback can add higher ordered harmonics of its own (while at the same time suppressing distortion), so if stability problems are present, the ticks and pops that show up will be even more audible due to the brightness added by feedback. But the root cause is not feedback itself.