Yes, you can enable partial payments on a payment link. All you need to do is define an amount and your users will be able to make multiple payments on a link until they can pay that link fully.
E.g., If you generate a payment link for Rs. 10,000/-, your customer will be able to make a payment for any amount up to Rs. 10,000/-. If the customer makes a payment for Rs. 5,000/- the first time, the second time the customer opens the link, they can pay any amount up to Rs. 5,000/-.