Nope.
Now, having oversimplified with a one word answer, I should add the caveat that it's based on shooting the "optimum" loads in each gun, which, of course, is not the same load. And therein lies the devil: developing the "optimum" load is a bit of an art, so the answer isn't nearly as simple as it sounds.
It's pretty much an axiom that, if you set an accuracy standard with a .44, say, 5 shots in a 1 inch group at 25 yards for example, I can find a load that will shoot that same accuracy with a .36. And if you specify a ballistic standard with a .44 of, say, 750 fps/150 fpe at 25 yards, for example, I can find a load that will shoot that same ballistic profile with a .36. Will they be the same load? No. Will they be the same at 50 yards? No.
The .44 has better stopping power. The .36 is lighter and easier to carry, and for some people, to shoot. Ya pays yer money and ya takes yer choice.