YES, you can.You cannot force someone to get an experimental vaccine for the safety of others. The others have the ability to get the shot if they want. Or are you claiming that unvaccinated are demanding that other unvaccinated get vaccinated?
You think employers are democracies?
If they tell a person, they must wear a hard hat, safety vest, work boots and safety glasses.
You think you have the right to be the exception?
You can always refuse the job or quit, the companies aren't forcing you to work there.