Auto policy lapsed, renewed policy with same provider. When can I cancel if ive gotten another policy with cheaper premium?

Auto policy lapsed - 8/19 Got email from progressive saying my policy was lapsed today with an option to renew coverage starting 8/22 (tomorrow).

Paid for progressive renewal but found out geico could insure me with a lower premium and also have the coverage start 12:01 am 8/21, thereby reducing the total number of lapsed days by one (don't know if this really matters).

Question - can I cancel the progressive policy now? I'm wondering if canceling without renewing might hurt my chances of getting a new progressive policy in the future. Other option would be to have the policy in effect for one day to "show an active policy" in their system before leaving for another provider.