Possible? Yes. Worth your while? Questionable!
Building a payment system is no rocket science in many cases. Put people in a room, give them enough coffee, white-board markers and sugary sweet delights, and soon enough they will come up with a payment system.
There are 1,900+ payment systems in the world, yet, less than 1% are connect (on a single-hop basis) and less than 3% connected on a two-hops basis.
You can certainly add to that number. But the basic question remains, what problem are you trying to solve? Is the problem big enough? Will you get the necessary traction! Will people actually use it.
Here is another answer I wrote, that you might want to read up on: I’ve developed a card that will make credit cards and debit cards a thing of the past. How do I get it to market?