You can, but if that decision is not sufficiently common in your area, and you don't have sufficient resources to relocate before the problem becomes acute, you may find your practical choices constrained in such a way that you are left with no realistic choice for necessary functions but to use Uber.
> What can I do if I don't like the service a state provides - can I opt out and stop paying?
You can (and history has lots of examples of people doing just that), but if that decision is not sufficiently popular in your area... well, the same as for Uber, above. The particular manner in which the lack of options, may, depending on the particular state and the particular service involved, be more dramatic than the case with most corporate goods or services. OTOH, depending on the particular state and service, you may have a lot more direct input into the decision making behind providing the service and how the state reacts to opting out, in the first place.