Yes, you typically have 5 years from the original delivery date to file a claim under the Ohio Lemon Law. It is possible to extend this limit for claims reviewed by an arbitration board. But you (or your attorney) must submit the claim to the arbitration board within this 5-year limit. And the extension is limited to the time it takes the board to hear your claim and make an offer.
In most cases, the Magnuson-Moss Warranty Act provides an even longer window to file your claim. It covers vehicles for the duration of their warranty and provides up to four years after the warranty was breached to file a claim. So, for vehicles that come with lengthy warranties, you may be able to file a claim a decade or longer after the purchase date.