Generally, no. A sealed bottle of coolant/antifreeze has a 10 year shelf life, while an opened bottle can be stored safely for years and years without spoiling. As such, you’re unlikely to see an expiration date on any coolant and antifreeze-containing engine fluids.
With that said, it’s important to store coolant/antifreeze safely while adhering to the instructions on the product packaging. The fluid should remain in its original container and not be exposed to extreme variances in temperature. Ensure that the lid is securely fastened at all times, too, or it could present a hazard for children as well as animals.