Not necessarily. Not probably.
What would happen is that your duties and responsibilities to potential tenant-buyers would go up even if you were still working with them as you previously had been. There are duties and responsibilities that come (legally and ethically) with being an agent (or Realtor) that you don't have otherwise. And that's not a bad thing, and that's no criticism of what you're doing now. It's just that you'd have an overlay of additional responsibilities.
That's an element of a long-running debate among investors about whether it makes sense to become licensed. Some say no--it's not necessary. Others say yes--it gives you far more tools and gives the people you're dealing with a greater sense of confidence and security.
Suggestion: Talk to several brokers. (Not real estate agents, but real estate brokers--the "boss" of a real estate office.) You'd be doing that, anyhow, once you got your license. Find out how they feel and what suggestions they'd offer. Try to identify some investor-friendly brokers in your area to talk to. (It seems that Keller-Williams has a lot of investor-friendly offices, though I know that other companies do, too.)
Hope that helps.