Switching from conventional loan to FHA loan

[Danny McGreevy]

I own a fourplex, owner-occupied.  I took out a conventional loan for this property and put down 20%.

If I found another investment property that I really liked, would I be able to refi into an FHA loan to take back out 15% to only have 5% equity in my property to use the 15%'s value towards a down payment on an investment property?

Thank you!