Can partial payments be blocked?

Yes, you can block partial payments within our system as you can block partial payments for only "Rent Payment" type payments or for all payment types if necessary.  With the "Rent Payment" type block only payments with the Payment Type set to "Rent Payment" will be blocked as the person can still submit payments for other types, such as Utility Payment, Security Deposit, etc.
On the Add or Update property screen go to the "3. Rent Amount" tab for the Partial Payment settings.