FHA to Conventional to a Second FHA?

[Brandon Blankman]

Current situation: 

I have a FHA Loan on my property and would like to refinance it in order to go purchase a multifamily to owner occupy. I have lived in the current property for 3 years and have near 20% LTV with a new appraisal. The only way to purchase the multifamily would be to either sell the current property or to obtain a FHA owner occupied loan on it as well.

My question: 

Is there a waiting period in order to get the second FHA if I refinance my current one to a conventional loan?