No, no, no... unless they're directional tires. Most, if not all, major mfrs have dropped that "requirement," starting, I believe, with Michelin in the '70s. Check their websites for current recommendations.
Possible. More likely a defective tire to start, or even MORE likely run underinflated at some time in its life. Some tires won't take much of that and could become more susceptible to failure lature. Think Explorer-Firestone.
Rick