No, you will not be fined. If you don’t have health insurance during 2019, the fee no longer applies under the ACA. You don’t need an exemption in order to avoid the penalty.
However, there are some states in the US which have state-level mandates and associated tax penalties for not having qualified insurance coverage. Each potential member will need to understand their state level requirements, any associated penalties, and make the decision that is best for their individual case.