Can I avoid airline customer profiling if I book my airline ticket with a VPN?

I can't stand the fact that the internet is filled with cookies and things that grab your data and basically creates a profile about who you are as a person, your wants, and your needs. I think it's such an invasion of my privacy. Because of this, I recently got myself a VPN and I'm wondering if this would also keep my identity hidden while I purchase a flight ticket online.