Yes. New addresses are subject to an application fee to cover the costs associated with assigning the address and installing the sign. The current application fee can be found on the address application form or on pages 10-11 of the county fee schedule.
If you will be constructing a new driveway approach, additional permits and fees may apply. Keep in mind that MNDOT, the county, or your township or city may have additional regulations and fees for constructing driveway approaches. This process is typically separate from getting an address.