Technically, it depends on what you consider the matrix. If the matrix is logging into things in Virtual Reality, surfing it with your consciousness, then it's possible to go without, hacking purely in AR. Gives you less initiative and less passes but basically you tap a few keys on your commlink and stuff happens.
By the way, it's impossible to hack implants that don't have their wireless on. Smartguns, yes, those tend to be connected to an online commlink. But implants, no. Those are connected to your brain through DNI, which is unhackable unless they use VR-stuff that lets you mess with their brains. And only hackers and faces want that kind of stuff, hackers for VR and faces for linguasofts.