Surprisingly, yes, for some of them. Small, old stars can be at room temperature ex: WISE 1828+2650, so you could touch the surface without getting burned. Any star you can see in the sky with the naked eye, however, would be hot enough to destroy your body instantaneously if you came anywhere near them.
Do stars ever touch?
The two stars orbit each other as a binary system, and those two stars together travel around the galaxy's core. However, the two stars are really not very close to each other at all. ... Contact binaries between stars - where the surfaces of the two stars are actually touching - do exist.
Can we ever visit a star?
Traveling to the stars is very difficult because they are so far away. The nearest star is 25,300,000,000,000 miles (about 39,900,000,000,000 kilometers) away. ... It is always possible that sometime in the future people may find a way to travel to the stars, but right now we just do not have the technology.