Engine installation

On an A body can the engine (360) and tranny (904) be bolted together first than slipped right in? Normally I install them seperately which normally takes my brother and I about 30 minutes or so, but than we spend about 2 hours it seems putting all the bolts and starter in.

I was taking some measurements and it looks like its going to be close. I think if I slip it in on a very steep angle it just may work. Does this sound about right?