No...Google ranking only depends on hits to a very small degree. Search SEO and you'll get google guys explaining stuff like how to increase your page rank.
Working on free hosts has numerous disadvantages. Like some stuff is restricted like SMTP, number of requests you can make per minute to your site and database. E.g you cannot test an AJAX driven chat web app that makes a lot of requests on a free host.I did that a some time back and my app kept crashing, took me a while to figure out that my code had no problem.