Certainly will, but it's a poor idea. Consider that ANY ammo you would employ for personal defense or carry should be heavily vetted for function. Furthermore, you just aren't gaining much by going to a +P round over a standard 9mm defense round.
The 39-2 is a great pistol but you're also talking about a gun out of production since 1982 or 1983. This gun was built long before modern ammo. I would really, really want to hard test such a pistol with modern JHP ammo.
On top of that, as much as I love the 39-2, this is not a drop-safe pistol and though it is historic and loved (I own three myself), there's a gujillion better models suited to this role these days.