No, whomever is tell you that is getting it confused with computer SCIENCE. Computer Science requires a lot of math, and will more than likely require a degree.
With almost any field it is best to get a degree, especially if you have the ability to. I'm a huge advocate for education, and whenever possible if you have the finances and ability you should go to college and get a degree, at least go get your associates.
A degree is not required for most entry level positions within the IT field (not talking about computer science here), but will definately help you out. It depends on the company too, a lot of larger companies will require a computer degree or related 4 year degree, but some smaller companies won't look for a degree but work history and experience.