If you are looking to do an FHA loan, then yes you will likely need to wait 6 months. They're not gonna take that much higher of a value without it seeming extra risky. Conventional, however, shouldn't pose that much of a problem depending on what your objectives are.
What is your goal in refinancing? Are you looking to cash out some of that equity or just refinance the current balance into a better rate? Also, is the current loan a recorded lien against the property or is it unsecured?
If you are trying to take cash out, then you need to wait. These limits are put in place to discourage fraudulent lending based on inflated property values. If the loan is not secured against the property, you need to wait. It's because the loan will be considered cash out anyway.
If you are just looking to refinance the balance on a recorded, secured, mortgage, then you should be able to refinance and use the newly appraised value without waiting 6 months. Now, that doesn't mean a bank will necessarily approve the loan. You may have to justify why/how the home is worth that much more in such a short time after buying it - document improvements made via receipts, work orders, etc.
Could be that the bank may have a 're-capture fee' meaning that if you pay off the loan within 6 months then they are required to pay back any commission they earned on the original loan. That would certainly be motivation to tell you that you MUST wait