Hi Silvia! You sure can....here are some instructions for you.
They make kits for that sold at Home Depot.
Hi Silvia, this is Peggy. From what I have read this is not a good idea. Please read this and then you can make up your own mind. I just want you to be safe. Why Painting a Chimney is Not a Good Idea | Doctor Flue
Oct 21, 2014 - If you're painting the exterior of you home, you may think that there's no harm in painting your chimney. Doctor Flue explains why painting a ...
I did mine and am sooo happy I did. It's been years now and no issues at all. Just use good quality paint and clean before, so it adheres well:)