Not really since a message typically only comes from one person. The one
idea I had was to create an account that has both their names so it'll come
from one account where the name is "President & VP" (of course with their
real names).
A mail enabled (server-side) distribution list might work better as then
they can still receive replies in their own mailbox.
They (President and VP) should then put the distribution list in the From
field when sending the message.