Reaching to the shelf, my copy of the Shorter OED (4th edition, 1993) has the following definitions (italicised comments about age of definition and pronunciation removed, otherwise entire definitions given):
Beyond the truism that anything a government mandates by force of law could be said to be coercive, I'm struggling to apply either definition to what's proposed.
The Cabinet Office minister said those declining a jab could see themselves barred from events.
[Quack]People who turn down Covid vaccination are "selfish" and put others' lives at risk, Cabinet Office Minister Michael Gove has said.
He warned that those declining a jab could see themselves barred from events requiring "a certain level of safety".
Sounds like both a threat and moral pressure to me.