I'm not quite knowledgable enough to give you a definitive answer on the 10mm,but I do suggest you gather more info.
The 10 mm is "semi-successful" in the 1911.RIA makes a beefed up version of a 10mm..
You may be head for a self destructing money pit.
I suspect you might be good with a .40...maybe.
There are ramped vs non ramped barrels.A ramped barrel requires altering the frame.For the smaller bore higher pressure cartridges,it offers better case support.A regular 45 is typically not ramped.On the fat 45 cartridge,that can cause its own problems.The 45 operates at lowerpressures,18,000 ...I don't know if its psi or cup right now,but the .40 and 10mm will run nearly twice that.The cases may goose egg out the side some with a non ramped 40 or 10 mm.That is not a definitive statement of fact,its something for you to research.
The ejector is frame mounted.I know 38 Super and 45 ejectors are different.Not sure which a 40/10 mm uses.
45 and 38 Super use a different slide stop.Not sure about the 40/10mm.
If you are intending to do the work yourself,and you are not experienced...
.Iwon't tell you you cannot.But please do not count on a barrel and slide being a drop in.The drop ins require fitting and an understanding of lockup,linkdown,timing,lug clearance...There is more to it than getting the parts to assemble.The parts have a bit of a co-ordinated dance to perform and the choreography may seem simple in its elegance...but that does not just happen on its own.Its easy to get it "not quite right" and scrap the barrel lugs or the slide lugs or both.
A 1911 is not like an AR.
It is not just assembling parts.The barrel is locked up in the slide with the firing pin hole centered in the barrel then the barrel underlug is fitted to the slide stop pin so the slide stop actually locks the barrel.The link simple positions the barrel to lock.The barrel and slide come back together as the link of proper length pulls the barrel down sufficiently out of lockup,then the barrel underlug hits the frame and the slide continues back.At this point the slide MUST be fully unlocked plus a little clearance or the lugs will be battered...
The barrel underlug must print properly on the frame or it will break.
And,oh my goodness!!The fat part of the new barrel may be a different diameter than the fat part of the old barrel,so they may not sit the saddle of the frame the same...When you get that all worked out the barrel /chamber mouth has to be the right place relative to the feed ramp...
A new ejector requires fitting and drilling for a pin or two...
I'm not trying to tell you how,I'm just telling you you have to do all that ,some of it takes tools and any of it might mean buying new parts and starting over.
Get it a little bit wrong with an 18,000 psi 45,you may never notice.
Get up to twice that pressure,or more in a 40/10mm...and you better have it right.
But it does sound like a nice idea.A little slide/bbl length still conceals,and you can stick in a longer mag at reload.