If you are talking about the K-4, whether steel tube El Paso model or the aluminum tube Japanese model, yes they will stand up to recoil. I had one (steel tube) on a .30-06 for years. My dad still has a K-6 on one of his, and I know fellows who used them on 7 mags and .300 mags. They were well built scopes. Just a little heavy and lacking the gas sealing and multi coated lenses of todays scopes.
As an aside, I did an unscientific test one evening with several scopes, including an old K-4 Weaver. I could see to shoot with it longer than about half the scopes I tested, and it was right with/behind scopes costing a lot more. It was definitely useable past legal shooting time, so I wonder sometimes just how much advantage we gain with all the new technology.