It appears as if they do this is what I found.
In many states, the courts will inform the DMV that your license should be suspended due to an outstanding warrant. In Ohio,
for example, municipal or county courts have the discretion to request
that any resident with an outstanding warrant be denied the right to
apply for a driver’s license or vehicle registration.
If you have any outstanding warrants, you will need to contact an
attorney to have the matter resolved as soon as possible. Once the
warrant is removed from your record, you will be able to apply to have
your driving privileges reinstated. However, you may need to pay some additional fees or retake the written and road tests.
In many states, the courts will inform the DMV that your license should be suspended due to an outstanding warrant. In Ohio,
for example, municipal or county courts have the discretion to request
that any resident with an outstanding warrant be denied the right to
apply for a driver’s license or vehicle registration.
If you have any outstanding warrants, you will need to contact an
attorney to have the matter resolved as soon as possible. Once the
warrant is removed from your record, you will be able to apply to have
your driving privileges reinstated. However, you may need to pay some additional fees or retake the written and road tests.