Can board members submit other members proxies at a board of directors annual vote meeting?

Generally, association members may assign their votes to whomever they choose, and this may be a board member.

It is possible that a member assigns an open proxy, or may assign a chosen proxy, usually by vote-able action. With an open proxy, the proxy holder can choose how to vote; with an assigned proxy -- with choices clearly voted on by the member -- then the proxy holder is required to vote according to the member's directive.

One caveat is this, however: commonly, board members may not assign proxies to other board members for board votes.

Read your governing documents to determine the exact voting procedure in place in your association, and if they are silent, locate the state law governing the type of association involved, or the type of corporation involved, where your answer may be dictated.