If you have strong credit and stable income, the option to refinance your existing loan after six months is possible. However, making sure you get a better interest rate and having positive equity are essential before you decide to refinance.
Before you apply for a new loan, check if your credit is improving. If your credit suffered from the hard inquiry on your credit report, the six-month time frame will give you time to rebuild your credit. If your credit is improving, you will have an easier time getting approved by a lender.