Not just possible, but quite common.
A few ways to skin this cat.
Single Offset: You have one datum on the fixture and drive everything off of that. That is a pretty complicated fixture though, and I am guessing it isn't going to get made to 0.0002" all around, so I would build it, measure where everything winds up, and tweak the CAD model to shift everything around - sort of like an As Built CAD model instead of the original CAD model. Once you do that however, it will stay very stable provided your fixture doesn't wear out and move a whole bunch. If you are single person shop where the CAD/CAM is on a laptop next to the machine and you can make tweaks all day? This is the best path.
Multiple Direct Offsets: Each station in the fixture gets an offset that is directly tied to the location. For example, G54 is the top left corner of the raw stock on Part 1/Op1, G55 is touched off from some machined datums on the part built previously, etc etc. You wind up with a lot of offsets to set up, but what you have with this is complete control over each part directly at the machine. This is for larger scale environments where operators need to manage production and can't be futzing with the CAD/CAM setup easily; they can tweak parts and do dial-in at the machine control, just by fudging the offsets around. Setup is a bear, but a little automated probing can ease the pain substantially (manually probe the first offset, and have a program that uses this first location to automatically touch off all the others).
Multiple Offset Copies: Use a very solid physical datum on the fixture as the primary offset, and copy it for each workstation. You would do the same upfront work as the Single Offset and drive all CAM operations off of it, but each station would call its own copy that can be individually tweaked as needed. If a part has an offset issue, operators can go to that station's offset and make some fudge adjustments by a couple of thousands to get it dialed back in.
Multiple Offset Copies is my preferred method, and works extremely well on 4th axis applications where everything is programmed off Center of Rotation. It does require slightly more experienced operators in multi-axis environments as you can often be working with translated work planes that can produce some real head-scratcher puzzles to figure out which direction to tweak things. In a 3 axis setup, most of the work happens after you build your fixture and dial in the CAD model, but in a 4th axis setup where you might have a funky fixture or some other weirdness it can be difficult to figure out why a part is perfect at A0, but is 0.005" off at A90, when a dial-test indicator is telling you everything is exactly where it should be.