Not that we know about either theoretically or observationally. If there is an effect, it must be very small because any expansion rate-dependent change in the uniformity of time would affect such things as the primordial element abundances during the first few minutes after the Big Bang when the expansion rate was thousands of times faster than it is now. The deceleration of the expansion rate through the era of nucleosynthesis would have probably changed the element abundances by a measurable amount from their observed values which do not include such a 'non-linear' time effect.