Yes, well, all sin comes from a single source, so of course you can't have on sin without falling a little into another. But you're thinking in terms restricted to a few simple acts. Lust doesn't only have to do with sex, and abstinence doesn't just mean not having sex - you can abstain from anything, like from smoking or from eating meat for Lent.

The oppsite of "lust" is "boldness" but it means "embracing of moral wholesomeness and achieving purity of thought through education and betterment." So the sin of lust isn't specifically wanting to have sex with every man/boy/fencepost in town (and half the women/girls/punchbowls too) but it's impurity of thoughts.

Sin	Virtue
Lust	Chastity (courage, boldness, purity)
Avarice/Greed	Liberality (nobility, willingness to give)
Gluttony	Abstinence (self control, moderation, consideration)
Sloth	Diligence (ethics, being industrious, zealous)
Wrath	Patience (/Peace, forebearance, endurance)
Envy	Kindness (satisfaction, charity, compassion, friendship)
Pride	Humility (modesty, selflessness, respect)