Filter Feature

I would like to create a feature that filters my contacts by company when I’m performing a quick create function inside of a customer

For example: I’m Currently under Customer A, and then I go down to History section and click create Note. If I want to assign a contact to it and I don’t know there name, I have to open an search all. Is there a way that when the search feature pops up to already have it filtered to contacts for that customer?