@Jeffrey Gagnon It would be an awesome idea for you to house hack using for VA loan. It would require very little money upfront and you could get a three or four unit property that you could keep for a long time if it is a great deal. If it is cash flowing with you living there, it will be even better once you move out. At your age, this is a great way to get started in Real Estate. Also, Jerry makes a very good point. Make sure to check on how the utilities are metered, as this will make a big difference in your expenses and cash flow.
But to answer your question, there is a good chance a multifamily property with cash flow quite well unless its in a very expensive area.
On another note, with your VA loan, you are allowed to have more than on VA loan at a time. This may help you in the future if you continue to house hack or decide to buy a SFR after for your personal use, but there are some caveats to it. Let me know if you have any questions.
Thank you for your service and good luck!