According to the wiki, yes.
"If you use Throne Room on Band of Misfits, choosing to play Band of Misfits as a self-trashing card (for example, Feast), the Band of Misfits will be in the trash after the first play as Feast, meaning it has left play. Throne Room then plays Band of Misfits again (getting token effects again, if there are any), allowing you to make a new choice as to what Band of Misfits should emulate. However, since Band of Misfits is in the trash, you will only get the on-play effects of the emulated card. Similar logic applies to one-shots that do not trash themselves, but still leave play, such as Island, as well as the case where there are no non-empty Action supply piles cheap enough for Band of Misfits to copy.
Under this ruling, it is possible for a multiplied Band of Misfits to trash itself (emulating any trashing one-shot), then gain itself back out of the trash (emulating Lurker, or etc.)."
Source:
http://wiki.dominionstrategy.com/index.php/Band_of_Misfits