Yes, access should be limited. What I’m talking about, of course, is limiting the word access to being used as a noun and avoiding its use as a verb.
Access has, in recent decades, become one of the many victims of the pretentious segment of the population, who consistently find the need to take perfectly good nouns and try to turn them into verbs for their own pretentious purposes. Much like the word impact, I can only assume that these people think that using a sentence such as I’m trying to access my files makes either them sound more important or the situation sound more dire than simply using correct English by saying I’m trying to get access to my files or I’m trying to gain access to my files or I’m trying to open my files.
If you want to ensure that you’re using access correctly instead of following some trend, then limit its use to a noun.