Final answer:
Yes, there are elastomers that do not contain carbon atoms, such as silicone elastomers. These polymers are based on a silicon and oxygen backbone with organic side groups, and they have rubber-like properties.
Step-by-step explanation:
Yes, there do exist elastomers that do not contain carbon atoms. One example is silicone elastomers, which are based on a backbone of silicon and oxygen atoms. These polymers, known as silicones, have organic side groups attached to the silicon atoms. Silicone elastomers are typically heat-resistant and have rubber-like properties, making them suitable for various applications such as insulation, coatings, and household products.