Are camel spiders related to camels?

No, the Camel spider (also know as a Sun Spider, Wind Spider and Winder Scorpion) is a member of the order Solifugae, and as such do not spin webs.

This order of spider also has no venom either. The camel spider is a nocturnal animal and hunts it's prey as if it were a scorpion, therefore there is no need for a web.