Absolutely. I work at a well known tech company, and when we give potential candidates coding tests we give them the option to code in any language they'd like

Absolutely. I work at a well known tech company, and when we give potential candidates coding tests we give them the option to code in any language they'd like (including pseudo-code), and to use Google if they can't remember the name or syntax of something they want to use. There's not reason to fail a candidate just because they can't remember the signature of a method in a library they haven't used in a while.