Not always. It depends on how you define coercion. Let's say a singer is locked into a contract that says she either sings and acts as someone tells her or else she has no income. She cannot use her name or likeness, etc. She could not get out of such a contract by claiming religious freedom, because she has the option to accept the consequences of choosing not to sing those lyrics etc.
But when a person is in millions of dollars of debt due to spending based on the expectation of future income, then some of the consequences for refusing might include jail time for fraud. Not that she knew in advance that she would be asked to perform immorally, and was actually planning to lose an income, but she could be charged anyway, because people who stand to lose millions of dollars are not the forgiving sort.
So there are definitely situations where a singer might find herself coerced with no way out, and claiming a moral objection will not protect her from jail for fraud.
On the other hand, if people will be more careful about the contracts they sign and never go into debt, then they can avoid that particular scenario of legal coercion.
Generally, a person has the right to refuse and accept the consequences. Even going to jail to face an accusation as a consequence is still an option. Even accepting death is an option. It all depends on the definition of coercion.
Is asking someone three times coercion? It could be.