Yes.
Let me give you the long answer...
It's contrary to popular usage, but your rifle is not a "firearm" by ATF regulations and what you have to do is keep it from BEING a "firearm"...
What you have, is a "rifle", 26 U.S.C. 5845(c):
(c) Rifle
The term “rifle” means a weapon designed or redesigned, made or remade, and intended to be fired from the shoulder and designed or redesigned and made or remade to use the energy of the explosive in a fixed cartridge to fire only a single projectile through a rifled bore for each single pull of the trigger, and shall include any such weapon which may be readily restored to fire a fixed cartridge.
As long as it REMAINS a "rifle", you are legal by ATF rules. It will become a "firearm" if:
26 U.S.C. 5845
(a) Firearm
The term “firearm” means
(1) a shotgun having a barrel or barrels of less than 18 inches in length;
(2) a weapon made from a shotgun if such weapon as modified has an overall length of less than 26 inches or a barrel or barrels of less than 18 inches in length;
(3) a rifle having a barrel or barrels of less than 16 inches in length;
(4) a weapon made from a rifle if such weapon as modified has an overall length of less than 26 inches or a barrel or barrels of less than 16 inches in length;
Those lengths are defined by:
Title 27: § 479.11 Meaning of terms.
Firearm. (a) A shotgun having a barrel or barrels of less than 18 inches in length; (b) a weapon made from a shotgun if such weapon as modified has an overall length of less than 26 inches or a barrel or barrels of less than 18 inches in length; (c) a rifle having a barrel or barrels of less than 16 inches in length; (d) a weapon made from a rifle if such weapon as modified has an overall length of less than 26 inches or a barrel or barrels of less than 16 inches in length; (e) any other weapon, as defined in this subpart; (f) a machine gun; (g) a muffler or a silencer for any firearm whether or not such firearm is included within this definition; and (h) a destructive device. The term shall not include an antique firearm or any device (other than a machine gun or destructive device) which, although designed as a weapon, the Director finds by reason of the date of its manufacture, value, design, and other characteristics is primarily a collector's item and is not likely to be used as a weapon. For purposes of this definition, the length of the barrel having an integral chamber(s) on a shotgun or rifle shall be determined by measuring the distance between the muzzle and the face of the bolt, breech, or breech block when closed and when the shotgun or rifle is cocked. The overall length of a weapon made from a shotgun or rifle is the distance between the extreme ends of the weapon measured along a line parallel to the center line of the bore.