Short practical answer - NO.
Longer, not practical answer - kind of. You can accept a deposit but then the balance has to be paid through a link on the customer's phone. Also, only certain payments for the deposit I think. This is a broken feature that hopefully they'll address but it's been like that a while.
Or accept the payments independently of the invoice. For example: I have a "deposit" and "balance due" item on the catalog page. Let's say they want to pay half cash, half credit on a $100 invoice. I punch in $50 on the deposit item and finish the sale. Then I would punch in $50 on the balance due item and finish the sale, both with whatever payment method they want. Or you can ring up the sale and use the split payment option. Here's the important part, you'll have to go to the PC dashboard and then mark the invoice paid by "other" since it is split. It really is cumbersome...
Now, if you want to do more than the two payments, ala layaway, you are better using pen and paper to keep track and just take the payments as above, just don't use the Square invoice feature. Multiple payments have been requested however they did it using scheduling which only works if you want to use set times and amounts that are pre-determined. Hopefully, they take the idea a bit more under consideration soon.
