Differential Backup (But Specify Differential Base)

Suppose that we have the following (daily) full database backups that ran in the following order on Server1:

F1   F2   F3   F4   F5

Now, F1 has been restored on Server2 and Server1's database activity has been stopped.

Is it possible to run a differential database backup on Server1, but specify F1 as the differential base, rather than having F5 be the differential base, and then restore this differential backup on Server2? (if F5 is used as the differential base, then the changes from F2-F4 won't be picked up).

Thank you for any help.