Totally. It's completely plausible, imo, for a corp to find the budget for a simple Agent program to run on some device inside the facility and to scan 24/7 for a black list of probable runner gear (silent running icons, chameleon suits, sleeping tiger armor, wired reflexes cyberware (if corpsec doesn't use them), etc).
But if that's not written in, I wouldn't add it. Unless the team's got a strong matrix game.
Just like if the team's got a strong magic game, then you get extra wards, spirit patrols, some guards become adepts, etc. Matrix security can be "plussed" up in the same way, and naturally your odds of getting your drek hacked goes up if the matrix game is stepped up.