Hi! Is there any way I can have a survey on the home page instead of on a link?

Technically no, although if your questions happen to fit into the Poll format, you could always put a Poll on your home page instead of using the Survey Module at all. Otherwise you'll need to use the Survey Maker with a regular left hand link. Although you could create a larger graphic of some kind to call more attention to your Survey, put that on your home page, and make it clickable. That'd work too.