Could someone get cavities in all their teeth and not require extractions?

Yes: If the cavities do not destroy the teeth completely, then restorations can be placed to save the teeth. Sometimes root canal therapy and crowns are indicated. The sooner they are restored the more conservative and less costly the treatment will be.

Save your teeth: Remember your primary goal is to save your teeth. If your teeth are not in good shape and are causing you pain or embarrassment, you should speak to a dentist about options to improve your dental health general health and the overall appearance of your smile. Several treatment options are available to keep your teeth in your mouth.

Why is the issue!: The real issue is why would one get cavities in most or all their teeth? It is normally related to inadequate oral hygiene and a diet that promotes tooth decay. To answer your question- teeth only require extractions if the cavities are too extensive to restore the teeth with fillings or crowns, or.....the bone and gum support has progressed to such a level making repair\retention unlikely.