Sociopathy, as well as psychopathy, aren't recognised as disorders. Instead, they fit in Antisocial Personality Disorder. There are similar symptoms amongst ASPD and SPD, but most of the key symptoms for ASPD aren't shared with SPD. For example, sensation-seeking (searching for risks to stimulate their proneness to boredom), promiscuity (there may be exceptions, though, but because of the sensation-seeking symptom it's rare), frequency of telling lies (people with ASPD tell lies very often), lack of concern for others' rights and safety (including one's own safety) and a total lack of empathy, or small empathy (I guess there may be schizoids with no empathy or low empathy, but it's not characteristic of schizoids, in general).

There could be a case of a sociopath/someone diagnosed with ASPD who was also diagnosed, or may be also, schizoid. It happened to me the same as you - but on the contrary. I don't think I'm a schizoid, I think I may be a sociopath, and by reading about personality disorders I even felt like I could be a schizoid rather than a sociopath. Especially because I've never been much interested in sex and I shared many other symptoms related with ASPD/sociopathy. In this case, no, you don't need to suffer from any disorder (necessarily) to have a specific disorder.