No. One tire blew on takeoff and they landed at the destination without issue.

The 737 has 4 wheels on the main gear, 2 on the front. The loss of a single tire does not make the plane unsafe to land.

Tire blowouts are included in the takeoff brief. They plan for the possibility, aborting the takeoff if it happens below a certain speed, continuing as normal if it happens above it.

This is a calculated risk, as its something that happens from time to time with no real danger to the aircraft.

I listen to air traffic control animated incidents on and off on yt, so take it with a grain of salt. But wheels falling off during flight, while I wouldn't say it is common, it is not exactly unheard of as well. Pilots and ground crews are well equipped to handle such incidents.