The client can certainly generate a QR code with a URL that points a Vuture landing page. To be able to count the number of hits, the client would either need to add Google Analytics to the page and use that: https://support.vutu.re/hc/en-us/articles/360020558317-Inserting-Google-Analytics-GA-into-Email-Landing-Pages
Or potentially more easily, the client could opt to email the link to one of their internal team and use the SID link in the QR code resulting in write backs for each "link clicked" using the QR code.