Technically yes, but not very practically. The domain is cookieless, so it would be difficult to even identify a specific user, other than by IP. Also, the JavaScript resource is delivered from the cache with a 1 year expiry, which means most times it's loaded it will be served from browser cache rather than the web.
How is google.com cookieless?
The AMP javascript is served on the cdn.ampproject.org domain, not google.com.