Obviously, it could depend on your particular setup and how it was built, but generically I would say yes, if you have the means.
I've done it more than once, so I'd expect it's done comparatively routinely that way.
If the seat package and the engine stand are all one assembly, you should be able to fashion a 3 or 4 point sling to lift it all in its entirety.
Don't know it you've ever had a boat hanging on davits, but it is much the same as that. For instance, I had a cable from near each rear motor mount to a hypothetical center of weight point (probably at or just forward of the engine), then an additional one going forward connected to the seat package. The length of this a third cable can be adjusted so the whole thing lifts somewhat level. Maybe not as quite as quick and easy as it sounds, but not difficult, and far quicker that disassembling everything and then having to rebuild the boat when you're done.
If the seat package and the engine stand are not all one assembly, I would not attempt to do it that way. Remove the seat package first and then the engine and stand as a unit.
The last one I did, was a 502/gearbox with 4 seat package. Just 10 bolts and 1 lift to get all of it (cage already off). It took far longer to do the glass work than it did to R&R the engine/stand/seat package. That was glass/stringer repairs rather than polymer.
There could be reason(s) why you couldn't or shouldn't, but without more information that's hard to say.
This is a situation where, a few pictures could be worth a few thousand words.
Otherwise, if its direct drive and the rigging is solid, it really is just as straight forward as implied.