Only if there is a draft.
US males aged 18-25 are compelled to register, under penalty. You must also update the agency in event you move. Despite a recent US SCOTUS ruling that only requiring males to register is unconstitutional, the agency stands by the law as written. See "STATEMENT ON RECENT COURT CASES PERTAINING TO WOMEN AND SELECTIVE SERVICE REGISTRATION" at [1]
Selective service also has nothing to do with Jury duty - thats normally driven by voter registration as it tends to be one the most accurate records of who lives in a jurisdiction.
I've been of voting age for more than half my life now, and I've yet to be summoned. :shrug:
I wasn't a permanent resident during the age window for selective service, so I can't speak to any of the selective service rules, just my unceasing jury summons :D