Yes – Even just pulling the power (as in a power cut) won’t be an issue as once the power is restored the box will wake for a short period to restart the real time clock. Even restoring the power and losing it is not likely to be an issue though it does increase the risk of a problem with switching transients. My 5000T was left connected during a major kitchen refurb suffered no problems, though of course it couldn’t record when the power was off.
I had to move a socket while my 5000T was recording just last week, apart from the curtailed recording when the ring main circuit breaker was tripped, no future recordings were affected.