I would not try it because it may damage the enamel finish.

Have you looked into faucets with the pull out spray?

Can this be done, Yes sir.

The question is do you have the tools and skill level to accomplish this?

First you need a hole saw for the size required, this drill bit with the arbor costs about $50.00 maybe more and extra pilot bits, couple bucks each.

Next you need a variable speed mag drill, low speed and feed rate required here, you can try this with a half inch drive right angle, if you are steady enough and possess exceptional dexterity.

Either tool can be rented for aprox $60.00 for half day, mag drill a little more. They might even rent you the arbor but you will have to purchase the bits, a one inch hole saw about $15 plus the pilot bits.

Three to four hours labor.

More if sink needs to removed from counter and re-installed.