Yes that would be John .C Calhoun.
Two quotes come to mind.
"John Calhoun, if you secede from my nation, I will secede your head from the rest of your body.", Andrew Jackson source
The second occurred after Jackson left office. His Vice President and friend, Martin Van Buren was just sworn in as the next president and Jackson is asked by a reporter if he has any regrets after his 8 years in office.
“[That] I didn’t shoot Henry Clay and I didn’t hang John C. Calhoun.” source Andrew Jackson
You shoot equals in duels. You hang criminals and traitors. That’s what he thought of Calhoun.
Calhoun had been John Quincy Adams' Vice President and stayed in Washington as VP when Jackson was elected.
Tensions began between the two over social and policy issues.
Calhoun’s wife refused to invite or attend events which included Jackson’s Secretary of War, John Eaton's wife Peggy due to a scandal about how she and John Eaton had gotten together and her first husband. The Petticoat affair, or Eaton affair Jackson who had lost his own wife after she was ostracized, sided with Eaton.
Jackson and Calhoun then clashed over a federal road bill (Maysville road bill) which Jackson believed was pork and Calhoun favored.
Then at a party celebrating Thomas Jefferson, Calhoun tried to trap Jackson into endorsing his states rights platform. Jackson toasted the Union making Calhoun look foolish.
Finally Calhoun resigned as VP in favor of becoming Senator from South Carolina, where he advocated for states rights. States having the right to "nullify federal laws" they didn’t like. When South Carolina's state legislature following Calhoun's advice tried to Nullify an unpopular Federal Tarif a crisis occurred. nullification crisis
This in return had Jackson deploy troops and ships to South Carolina to put down the secessionists. This is where he tells Calhoun personally and any other secessionist in South Carolina generally, that if he (Jackson) loses any men due to their antics, he’s going to start hanging the ring leaders the next day.
Andrew Jackson was a bad dude. He once fought a duel with someone who was a better shot than himself. (Charles Dickinson) His strategy was to hold his fire, getting shot square in the chest and then calmly killing his opponent. When questioned on his tactics he says, "I would have killed him if he had shot me in my brain."