YES ... but, not using Google Contacts itself. On my computer, I have Google Contacts sync'd with MS Outlook, which can do a thorough search of the data in my contacts. I also use Lookeen, which can find the data in my contacts.
On my phone, I just found out that there are 3rd party apps that will do a thorough search of my Google Contacts.
It is irritating that Google, home of infinite data mining, doesn't provide a way for us to search for the data in Google contacts. I think their Search box formerly did that, but now is strangely limited.