Wishful thinking but possible but has not worked in the past. It is has been a launch issue since 2017 with the Series 3 Cellular and it is not just Verizon. Stay tuned as others will be posting about AT&T and T-Moble almost anytime now.I'm wondering if we just wait long enough will the IMEI numbers eventually be transmitted to Verizon and loaded in their database?
In addition to the IMEI the EID needs to be registered since the system generates a ICCID or MEID number for the Phone number and this information is stored on the iPhone and the watch.
Note: In addition to the very small number on the box, you can just check your iPhone after pairing your watch and find the IMEI / EID from the About from General > About > scroll down to see all the details of your watch.
Dave