Can you refinance any loan, even if the contract says it might not be refinanceable?

It depends entirely on which loan the contract is talking about. A standard first mortgage can virtually always be refinanced. Even a prepayment penalty, where one exists, does not block a refinance. A penalty just means paying a fee to refinance inside the penalty window. So for a typical mortgage, language suggesting you might be unable to refinance usually does not hold up. Where the warning does bite is assistance programs structured as subordinate liens with their own rules. California's Dream For All is the clear example. That program is a shared-appreciation second lien, and its guidelines state it will subordinate to a new first mortgage only once. You can refinance your first mortgage one time while keeping the assistance in place; after that single subordination, refinancing again means dealing with the assistance lien itself. So read the specific program documents before assuming anything. A plain first mortgage is almost always refinanceable, while a special second lien or assistance program may carry a one-time or limited subordination clause that shapes your future options. If you are choosing between programs, weigh how each one treats a future refinance, because that flexibility has real value. We are glad to walk through the fine print with you.