Yes. Under the NLRA, there are multiple avenues for you to pursue. One way is to petition the NLRB to hold a decertification election, which if successful, means the union no longer represents any of the employees in your bargaining unit. Note, this is different from a deauthorization election which simply removes any forced unionism clauses in your contract. To have a decertification election you must first obtain approval from 30% of the bargaining unit to establish this step - then you must campaign to get the majority of votes needed to get rid of the union.
The other method is to withdraw your membership - in writing. Depending on your state's laws, you may have to continue paying dues and fees, but will not be officially a member.