Can I Do an FHA Refinance with No Money in Savings?

refinance

My husband and I are trying to refinance our mortgage. It would be a 30 year FHA loan. Does anyone know if you can do an FHA refinance with no money in savings? We are currently living nearly check to check right now. My husband had a salary decrease last year along with weeks off unpaid (due to slow business) and we went straight through our savings casing the lost wages. We are hoping to erect it back up this year now that his regular salary will back soon.