If you missed the open enrollment period for health insurance, you may still be able to enroll in a plan if you experience a qualifying life event such as losing your job, getting married, having a baby, or moving to a new state, If you do not have a qualifying event, you may still be able to enroll in a short-term health insurance policy or a limited benefit plan 1. However, these plans may not provide comprehensive coverage and may have higher out-of-pocket costs.