No. We calculate your average pace based on the total (elapsed) time you’re out on your walk or run, not your moving time. Pausing your tracker can cause errors in calculation and could potentially disqualify your run (even if your moving time was fast enough). Runs must be started and finished on the same calendar day and tracked in one continuous session to qualify.
Make sure the auto-pause feature on your tracker is turned off before heading out. This is usually in your tracker’s Run Settings.