How to integrate jotform with two DropBox accounts?

Also while i've got you here, is it possible for me to use that dropbox
integration on two dropbox accounts?

Unfortunately this would not be possible at this time.

The only way I see this possible is to link the jotform to one account and set another account to be linked to this folder (on the first account) so both of them get the same files and submissions, practically in the same time.

These next guides on DropBox might help you in setting it all up:

How do I share folders with other people?

How do I link to a file or folder?

How do I administer sharing for my team?

Do let us know if you have any further questions.