I think so, but I could be wrong.
the main issue is mirroring relies on a log chain, just like log shipping (or similar to LS).
If you restore, the chain becomes somewhat broken, depending on what you're restoring (from when/which backup). My suspicion is any restore will require you to reinitialize DM, and that if you're not restoring from an extremely recent backup, this is a reset of mirroring.