affiliate plugin allow user to create a custom link?

Is it possible for affiliates to make their own URL for their marketing purposes? And or custom invite code for membership?

For example, let's say I have 1800 bloggers sign up and become members & affiliates. Could the affiliates create their own custom link with their blog name? Perhaps even an invite code for inviting people to sign up? This could then be tracked and a monthly paypal payout?