Can I still find a man who will agree to date me without sex?

Can I still find a man who will agree to date me without sex?

From a female blog reader:

I just want to ask is it possible to find a guy that doesn’t just see relationships to be all about sexEvery guy that has been asking me out they all have being asking for sex
And I’m just 19yrs still young and I just don’t want to give my body down for any guy to chop n clean mouth and leave me heartbroken so i want to ask if its possible for relationships not to be based on sex?