I currently have 22k in student loans at 6.55% interest. I checked my credit score and it was 706 a couple of weeks ago. I am a recent college grad with a decent paying job right out of college. What do you think the likelihood is that I can get a loan to pay off my student debt at a lower interest rate?
It is common, but usually to get a better rate, the loan has to be collateral backed. You often see home-owners taking equity loans to consolidate other debts to lower the rate because those loans are secured by the mortgage.
I've seen some signature loan rates at 5% for 750+ credit scores, so it wouldn't hurt you to talk to a credit union and make the case to their loan officer, but those lower rates are going to be paired with shorter terms. With anything but a mortgage, your payment would likely be significantly higher, which would not be a bad thing for getting out of debt, but it could be a problem if you have any income shocks.