Our site uses an Affiliate software to pay commissions for customers our members refer. When a member joins our Affiliate program they are assigned a unique URL for them to promote. Does the Invite...

Yes.  You can achieve this goal using our API:

https://new.invitebox.com/help/api/javascript/

Also, here is the script you will need to add to the page with our widget:

<script> var __ibq = __ibq || [];  __ibq.push(['bind', 'postInit', function(){invitebox.setEmail('

[e-mail]', 'name');}]);