Given ammunition load, barrel length, and revolver weight, is it possible to quantify the "Felt" (i.e. the force that one's hands/wrists are subjected to) recoil?
No.
Not the way you're thinking of, anyway.
There are two different things here, and only one is "Felt".
You can calculate the recoil force in standard units (ft/lbs) for a specific gun and load, but you cannot calculate what the shooter FEELS in any kind of units.
Because every person is going to
feel something different, due to a host of factors not able to be plugged into any formula.
Among those are grip angle, size and shape, grip material, differences in shooter's hand sizes and gripping styles, to name just a few.
As an extreme example, I had both a P.08 Luger and a Broomhandle Mauser (Bolo model) in 9mm Luger. Firing the same ammo, the Broomhandle HURT!
Now calculations would show that the larger, heavier Broomhandle would have less ft/lbs of recoil energy, but the FELT recoil of the Mauser was much, much worse than the P.08. This was entirely due to the size and shape of the Broomhandle grip (being nearly round - where the name Broom Handle comes from) and the fact that the Mauser also had a large slot in the metal of the backstrap where the shoulder stock would be attached.
Added together these things made the larger heavier pistol, which should have had less felt recoil feel like it had more recoil and actually made it painful to shoot without gloves.
Another example, in the same vein was the Cobray M11/9 pistol. Again, bigger and heavier than a standard pistol, so its calculated recoil energy would be less, but its 90 degree grip angle and the design with a heavy bolt moving back and forth forming the crossbar of a "T" over the grip gave it a recoil FEEL much worse than a regular type pistol.
Another example is just changing the grip of a revolver from wood to rubber. The calculated energy remains the same but the FEEL of the recoil is much different for most of us, and that makes a difference.
SA or DA, semi or revolver, or single shot, FEEL is an individual thing different for each different shooter, and not something that can be calculated with any existing formula.