Jack Schlossberg, the only grandson of President John F. Kennedy, is fueling speculation that he may run for the seat to replace retiring Democratic Rep. Jerrold Nadler in one of Manhattan’s most coveted congressional districts.

On September 3, Schlossberg asked his Instagram followers whether he should run for office. The poll results came back 91% in favor. The next day, he clapped back at Nadler after the longtime lawmaker questioned his credentials.

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“Well, there’s nothing particularly good or bad about a Kennedy holding my seat. But the Kennedy, unlike Schlossberg, should be somebody with a record of public service, a record of public accomplishment, and he doesn’t have one,” Nadler said in a screenshot of a news story shared by Schlossberg. “And so, I don’t think he’s going to be a candidate in the end, and he certainly is not going to be a major candidate. There will be major candidates.”

Schlossberg responded on Instagram with a screenshot of Nadler’s remarks captioned, “It’s okay I don’t mind the untrue attacks!! But that’s what they are, and call me crazy but l’d rather our leaders focus on what TRUMP’S DOING EVERY SINGLE DAY and on ENCOURAGING a new generation of leaders to step up ? You ?”

Just two hours earlier, Schlossberg had been more conciliatory in a post: “Honestly no offense taken whatsoever ! As a New Yorker, a progressive and an American, I have nothing but thanks and respects to offer Rep Nadler :),” he wrote, praising Nadler’s “lifetime of public service” and listing some of his legislative accomplishments.

The exchange came as Nadler, a fixture of Manhattan politics for decades, prepares to step down after announcing his retirement in early September. His decision opened up a rare fight for New York’s 12th Congressional District, which stretches across Manhattan from Union Square to the northern edge of Central Park and is overwhelmingly Democratic.

A September 2 report in The New York Times noted that Schlossberg, 32, was among a roster of names being floated for the seat, along with former Federal Trade Commission chair Lina Khan, state assembly members Micah Lasher and Alex Bores, and New York City Councilman Erik Bottcher.

Schlossberg is the only son of Caroline Kennedy, who has long been mentioned as a potential candidate for higher office but has never run. Caroline withdrew from consideration for a U.S. Senate seat in 2009, citing personal reasons, after initially seeking the seat vacated when Hillary Clinton became secretary of state, The Guardian reported. Caroline later served as ambassador to Japan during the Obama administration.

Caroline’s uncle, Robert F. Kennedy, was a senator from New York before being killed on the Presidential Campaign trail in 1968.

Reports over the years have described Caroline as a possible contender for Senate or even the presidency, though she has consistently returned to private life. Her son, Schlossberg, has not previously sought public office. Still, he has become increasingly active on social media, where he has criticized both Trump and Robert F. Kennedy Jr., his uncle and the current Secretary of Health and Human Services in Trump’s cabinet.

Whether Schlossberg translates his Instagram activity into a formal campaign remains to be seen. Asked by The New York Times earlier this week whether he might run, Schlossberg said it was “certainly a possibility.”