Your only choice is the epoxy kits made for that sold at home depot and paint stores. Fyi won't last long on sink. Once scratched will peel. Should last a while so you can save up for replacement.

https://www.hometalk.com/26272337/my-little-bathroom-makeover-for-50

My Little Bathroom Makeover for $50

Hi Susan: Try taking a look at these sites:

https://blessedbeyondcrazy.com/paint-a-countertop-dont-make-these-mistakes/

https://www.diynetwork.com/how-to/rooms-and-spaces/kitchen/how-to-paint-a-laminate-countertop

Good luck

Hello. Here is a hometalk link for diy countertop painting.

I hope this helps.

https://www.hometalk.com/460970/we-painted-our-countertops-the-system-we-used-is-super-durable-no-chipping-and

DIY Painted Bathroom Sink Countertop

https://www.blesserhouse.com/diy-painted-bathroom-sink-countertop/

We painted our COUNTERTOPS!! The system we used is super durable, no chipping, and still looks brand new one year later.

This refinishing kit works well: https://amzn.to/2qb5EGQ

Hope this Helps! Jeremy - https://do-daddy.com