Does greyhound bus go to crescent city?

No. You can connect to Crescent City from a few Greyhound stations, however. You can take Greyhound as far as Arcata, CA and use Del Norte County Public Transit route 20 to travel to Crescent City. http://www.redwoodcoasttransit.org/route20.html for info.

You can also use the brand-new Southwest POINT bus service to connect to Crescent City once daily from Medford and Grants Pass, OR. Info here: http://www.Oregon.gov/ODOT/COMM/nr09041404.shtml

Arcata is the most useful for trips from points from San Francisco south, while the Oregon stations are more useful for trips from the north. Trips from the east may use whichever works for their schedules, and are advised they will probably have to connect at Sacramento.