Let's do a little arithmetic.
.35 Rem .458 casehead diameter 33,500 psi
.358 Win .470 casehead diameter 52,000 CUP, probably more in psi but let's just go with that.
That is 5% more casehead area and 55% more pressure for 63% more load on the bolt.
Not in my Model 8 or 336, you're not.
Now a .300 Savage Model 81 might stand it, built for a 46,000 CUP cartridge, the .358 would only be a 13% overload. But where to get a barrel and would the magazine work for the longer OAL of the .358?
Marlin (and Winchester) made lever action rifles beefed up for .356 Win which is just a .358 with a little semi-rim for use in lever actions and blunt bullets for use in tubular magazines. Maybe you could tinker with one of their extractors and get it to handle .358, they do ok with .35 Rem, after all. If you could find one.