Jason,
Yes it can be done. I'm currently in Korea and have one SFR property in my home state. We don't have a property manager, however I do have a real estate agent who does all my tenant application stuff. I make the final decision based on credit scores, the agents interview and the rest of my written criteria.
Not having a property manager is both good and bad. I rely on the real estate agent for referrals of good professionals, as well as Internet searches. It takes some extra time to fix stuff.
The tenants know we are overseas and managing from here, so they stay in touch via email and are good about letting us know about issues. They take care of small stuff (under 150 USD). They are trustworthy enough that in a real emergency, I wouldn't hesitate to tell them to fix it and send me the bill. I wouldn't try that with many tenants, but these folks are good.
For the rent, I have them direct deposit into a credit union account specifically set up for the property. The money is then transferred to another account so there is little to no balance in the account that the tenant pays into.
The bad is that there is a 14 hour time difference, so I'm up late or very early to talk to repair folks. The other bad part is not having a full rolodex of professionals to help out. This is mitigated by my real estate agent, family in the area, and a couple of folks that we know that are overseas with property near us. I also was a real estate agent for 7 years, so I do have that experience to help.
My advice is to price in property management in your analysis, no matter what you decide. If you decide to self manage, then find an agent that will do all the leasing legwork for you to your specifications and has a good network of property repair professionals. Back that up with creating your own network of repair folks, and if you can friends or trusted family in the area.
If you decide to hire a property manager. Then vet the living daylights out of them.
Hope that helps.
Good luck,
Jim