Yes, I try very hard to convince people to leave the foxgloves where they are happy. They resent being dug.
Only the regular bienniels here, but still blooms every year, as the dropped seed sprout and bloom next spring right on schedule.
The only way that I've found to move foxgloves around is to place the dead stalks where I want a new patch.
Even that doesn't work well, as they have a pretty narrow window of tolerance here.