The inverse is what you're trying to prevent. Service ABC has malicious activity and calls Google to ask which accounts are accessing from that IP address. However this has two main problems.
a) Why would Google give this info over willingly.
b) Most VPN's assign the same outbound IP address to multiple users. So it's not a 1-1 mapping.
c) People who are using a VPN for something malicious are not also signed into Google.. I'd think.