I CAN, and have carried 10 lb rifles up and down mountains. I could tape a brick to the barrrel of my rifle and carry it, but have to ask WHY anyone would do so if lighter options are available.
Because I've done it with rifles that weighed 10 lbs, and rifles that weigh as little as 6 lbs (including scope and mounts), I can assure you that the 6 lb rifle is much better.
The disadvantage of the really light rifles is cost. You're going to have to spend $1,100 or so for a Kimber, $3,000 or so for a NULA or go with some custom work to get there.
But there is absolutely no reason to own a rifle that weighs any more than 7-7.5 lbs (including scope and mounts). There are plenty of off the shelf rifles that will get you there at prices around $500, or even less in some cases. And there is zero difference in accuracy. My 6 lb. Kimber 308 shoots just as accurtely as my 11 lb 308 tactical rifle. The Tikka's I owned came in under 7 lbs with scopes and mounts and were as accurate as anything I've ever fired
If a pound or two makes a big difference in the weight of the gun you carry, you might think about going to a gym and conditioning yourself
I read this a lot and it makes no sense. The guys who are already in the best physical condition are the only ones who worry about a rifles weight because they are the only ones who actually carry them any distance. The fat boys who hunt from the road or their 4 wheelers are not concerned about a rifles weight.
Get yourself a really good sling and be happy.
More bad advice. Your rifle should be carried in your hands when hunting. Havng a heavy rifle slung over your shoulder instead of in your hands when needed is a good way to go home empty handed.