Can I still be frum if I don abstain from having sex?
Every Jew is rewarded for each mitzvah he does and is responsible for each averah (transgression) he commits. Just because a Jew cannot observe every mitzvah does not mean he should not do any and does not mean that he cannot live within a framework of traditional Judaism. All Jews have shortcomings: “for there is no person so wholly righteous on earth that he [always] does good and never sins” (Kohelet 7:20). We can observe Shabbos and yomim tovim (the Sabbath and holidays), keep kashrus, daven (pray), learn Torah, visit the sick, give charity–in short we can do as many mitzvos as possible.
