More specifically but less dramatically, no, it does not have a use by date. I have some I bought and some I collected from at least 15 years ago, probably more. The resin is solid at room temperature. One is not relying on volatile compounds that evaporate.
What it does benefit from is being dried out. The resin infused stripes tend to be pretty good, but there are often less resinous zones and if they are dry, they will burn happily too. I split off bits about the thickness of one or two kitchen matches and scrape cotton bud size clumps of fluff off them, lights with a ferro rod and gives me an effective match.