This is a 50-60 year old camp. The kitchen/bathroom have the square linoleum tiles. Can this be done? Any suggestions on how to go about this?

I found this,
Apartment Therapy New York | Good Questions: Painting Over Linoleum?

Hope it helps in making a decision.

The camp may be 60 years old but any idea on the tile's age. Tile that old may have asbestos so be cautious with anything that could tear it up. You could paint the floor with an epoxy paint after a really great stripping job. A painted floor, even epoxy, will not last more than 5-10 years. You could likely tile over this floor if the old tiles are all firmly attached.