Either no, or 'barely', but this isn't really a bad thing either, it's just soup. Your 'limbo state' between homemade and processed seems about right.

I use bouillon all the time when making soup, I buy my chicken as boneless breasts so rarely do I have the ingredients for making stock and I eat a lot of soup, and I've never noticed a difference.

But I'll say no just because with most soup, there's really only three levels of making it. A) Heating it from a can, B) using pre-made broth or bouillon and just dicing meat and veggies, or C) actually boiling down stock. Considering making stock is the most time and labor intensive, and actually focuses around the core concept of soup - using leftovers - then doing it this way has to be considered the 'truest' method short of growing the components yourself which is gardening and livestock manging, not cooking.

So I won't cry foul on someone calling it 'homemade' if they use bouillon, but realistically there's not much difference between A and B compared to B and C. I regularly toss in veggies just when making Campell's chicken noodle, and I'd never call that homemade, but it's no different then B. I wouldn't call make a Noodle-Roni Pasta dinner homemade either, just because I tend to toss vegetables into while I'm cooking it.

Can you call it part of a homemade meal? Yeah, but not in of itself really a legit stand-alone homemade item. Your just dicing some stuff and throwing it in a pot. A sandwich isn't homemade because it was made in your kitchen, but if you baked the bread yourself, then it is.