As far as grammar is concerned, yes, that's true.
But register also matters. A communication is about much more than the surface meaning. It conveys a lot about the relationship between speaker and listener. Some languages formalize that grammatically, but it's present in myriad other ways.
Adhering to the arbitrary rules of correctness is one. Saying "try and" in a resume cover letter probably conveys a message of slackness and over-familiarity. Which might be a deliberate choice, but you're better off if you at least know you're making it.
I fail to imagine how one could use "try and" in a resume, without actively trying to.