Yes, it will.
To a point.
Zone system is about realizing how you want the scene to look: do I want a lot or not too much detail in the shadow? how much detail do I want in the highlights? Should I therefore put metered middle grey at middle grey (zone V)? A step or 1/2 step higher or lower? What should I therefore place in zone II, IV, VI or VII? With a good spot meter, you should be able to get excellent results.
I say "should" because there are two caveats. First is, as others mentioned, that you won't be able to do contraction or expansion, meaning that if your scene has a very high, or very low dynamic range, you'll have to compromise. Two solutions to that problem: #1, don't shoot scenes with very high or very low dynamic range (not always a choice) or #2, compromise. #2 is what I do. Not that I don't find the N+ or N- development interesting or necessary; it's just that I don't have time to do all the testing that goes with it.
Second problem is more difficult. By sending your film at the lab, you don't necessarily have the choice of developer. Some will make you film faster, others slower, and either of them will render completely useless all the visualisation and metering work you did when taking the picture.
My advice would therefore be to pick a serious lab that works with more than one developer and that can let you ask for the one you want - that, in turn, will depend on which film you use. If they won't let you chose, at least ask which developer they use. I learned that the hard way recently. I had too many films to develop and sent some of them to a lab. I should have specifically asked for Rodinal, but they souped the Fomapan 100 in Kodak T-Max developer, with disastrous results (probably also developed them at a higher temp than needed).
Sorry for the long answer. Shorter one is yes, even if you won't benefit from the full range of what the ZS has to offer, you'll learn immensely about photography.
