Can an amp overdamp a speaker?


Can a speaker be overdamped with an amp that has a high damping factor? Or is a higher damping factor always a good thing?
The speakers specifically are Totem Mani-2. One amp I'm considering is the Belles 350A reference with a damping factor of over 2000.
rubber

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Thanks for the replies.
Of course making decisions based solely on damping or specs is foolish. But the more information I have, the more I can whittle down my huge list. Funny though, the list is getting bigger, not smaller. Now I'm looking at Bel Canto's line of e.one amps. Particularly the 300 series.