Yes. They may only be taken by a legal deer hunter, so only weapons legal for deer hunting during that season may be used.
Incidental Take of Elk
A legal deer hunter may harvest an elk (either
sex) incidental to deer hunting on all private
and public lands open to deer hunting except
for public and private lands located in Anderson, Campbell, Claiborne, Scott, and Morgan
counties and except for Big South Fork River and
Recreation Area, Scott State Forest, and Obed
National Scenic River Corridor. Only one elk per
year may be harvested incidental to legal deer
hunting. Elk harvested via incidental take must be
reported to the TWRA on the day of harvest by
calling 1-800-831-1174 to allow physical checking
by TWRA personnel.