Hey @John C. So when you sign papers for most loans (conventional, fha, va) you commit to live in the home for at least 12 months. The issue you would also face is that if another deal comes up it has to make sense to the lender as to why you need to move again. If the homes are in the same area you would need to buy something with more bedrooms, more bathrooms, more space, a better neighborhood, better schools, OR some reason that is justifiable to the lender as to why you are moving but staying in the same area. If you are moving to a different area you usually sight something like getting a home closer to work. As long as you are doing that you are most likely going to be fine.
One more thing. If you can house hack with the first property and have leases in place and show rental income you can use that to qualify for the second home purchase but if you are still currently living in the first home and only planning to rent it out you would not be able to use prospective rents and would need to be able to cover both loans within the allowable debt to income ratios.
Good luck!