Yes there is a grace period for life insurance payments.
That is for most life insurance companies and life insurance policies they offer a grace period of between 30 to 60 days to make the payment.
For most life insurance companies the grace period for life insurance payments is only 30 days.
As long as you make the life insurance payment within that grace period then the life insurance policy is still in effect and will be paid out.
However if you do not pay the life insurance payment during the grace period and then the person dies then they won't pay out as much.
So to keep the life insurance policy active be sure to make the payments before the grace period is up.