No, Twilio does not offer shared short codes.
A shared short code refers to a short code number that is shared among multiple distinct businesses. For example, if Shoe Company X and Hotel Company Y both use the same short code number to conduct messaging with their respective users, that would be a shared short code. Shared short codes are not permitted in the US and Canada or in most countries worldwide.
The only (very narrow) exception to the prohibition on shared short codes that is permitted by US/Canada carriers is a short code that sends OTP (one-time passwords) or authentication codes with strict adherence to a template, and no option for customization by the brands that are sharing the short code.