Probably not. I am not saying it can't happen but, the Axis has its limitations. I had an Axis in .308 with an EGW rail, Brownells USA rings and Votex Viper scope. The trigger was holding it back. A Rifle Basix trigger helped get the group size down the most because the stock Axis trigger sucks. I want to think of a better word, but I can't. It was a fine hunting rifle out to 350 yards. But it would open up quite a bit after that. You may be able to acquire one of the new (Boyds I think) stocks in laminate and bed it. But the entire design is a hunting rifle/truck gun at a reasonable price. I think Savage delivered in that goal. I think the limitations of the gun are about 500 yards. There are just too many variables with the design, long action, poor trigger, noodle stock. You may be able to make a first round hit, but by round three, impact will shift due to barrel heat etc.
Have fun with it. Replace the trigger. See what the rifle will do to 500 yards, it might surprise you. I also think the .270 is limited for bullet weights. In that there is far more round developement with the .260, .308 and other short action rounds.
My suggestion is since you aready own it. Replace the trigger with a Rifle Basix. Shoot it a while. Work out your yardage and see where it goes. As an entry gun, it isn't bad, but I do not believe it is a repeatable distance rifle at 800+ yards. I think you will have a lot of fun getting to 500 yards and grow from there.
Good luck, thank you for your service.