Absolutely
That is, in fact, the recommended practice. However, few actually do it. (I know I don't.)
I didn't realize that agents had a problem with this, especially if you supply them with the customization, ex.
"Here's the one you use for a C++ gig."
"Here's the one you use for a UNIX sysadmin gig."
Etc.
Etc.
Tom Sinclair
Speaker-to-Suits
Many people, meeting Aziraphale for the first time, formed three
impressions: that he was English, that he was intelligent, and that he was
gayer than a tree full of monkeys on nitrous oxide.
-- (Terry Pratchett & Neil Gaiman, Good Omens)