Not directly, no.
ALL emails send to a Hide My Email address are forwarded to your primary Apple Account address.
However, once it's received by your mail client, you can setup a rule that looks at the To: address to identify the specific Hide My Email Address and forward the message to some other account that the AI agent has access to.
For example:

This assumes I have a Hide My Email alias of '[email protected]'. These messages will appear in my normal iCloud InBox, where the rule picks them up, sees the 'To' address, and forwards it on to the AI agent's box.