In very general terms? Yes, you can turn it into a business that makes money. I know this less from my own experience (I'm primarily a beekeeper, with sundries as an add on in the last 8-12 months), but from others in my local area. You have to bust your soap, you need to wholesale to a bunch of different outlets, and/or do a lot of fairs or farmer's markets. Or really busy ones--one beekeeper I know goes to a NYC farmer's market every weekend, and he sells (among other things) 500 bars of soap a month, and could sell a lot more, if he could produce it. Another local soaper does the farmer's market, and is in a couple dozen stores. As far as I know, she makes a living. Another is photographer, but makes soap as a sideline. So a lot depends on the outlets in your area, your product and how it appeals to that local market, and how much soap busting you're willing to do.
I'm building slowly, because I have a 4-year-old, and I work when she's in pre-school. That gives me about 5 hours a week day to make soap, balms, tend to 20 hives of bees, and do other things that one can't readily do with a small child around. Evenings and most weekends are family time. And that's fine--I'm happy to grow slowly, and as she needs mom less, I can do more. That's how I'm choosing to grow my business: always moving forward, but not like I would if I were 25 and single and childfree. Different dynamic!
I need to find a business forum, I swear! This stuff is really interesting to me.