Not typically.  Tire marks typically only occur from softer tires when turning or fast starts.  Also, freshly resurfaced blacktop roads may leave a residue on the pavers from the tires on freshly sealed surfaces.  This will typically wash off with soap and water.  In certain cases, it may be necessary to pressure wash the surface to remove the residue.  Once the sealer has completely cured (normally in 30 days), this will not occur.  If tire marks do not wash off, a small quantity of denatured alcohol may be used to remove the marks; however, first perform a test spot to check for the desired result.