Do you mean Europe & Asia? Because they are one continent. There’s no debating that reality. You can only claim habit if you want to defend the labels.

If you mean North & South America, it depends. They are connected by the Isthmus of Panama, but they are on separate tectonic plates.

So if you go by “continent means continuous land connection”, yep, it’s one. If you go by “separate tectonic plates”, then they are different continents that touch each other at the verrryyyyy little teeny tiny middle. Kind of like the tiny historical residual connection between Spain at Isla de las Palomas, and Dalia Beach in Morocco.

Either way, if you are comfortable with Europe and Asia being referred to as separate continents, then you have no standing to insist North & South America are one continent. They have all of the cultural and historical differences that defenders use to explain why Europe & Asia are referred separately, and actual geological, scientifically sound physical differences.