I think most of us here ended up in this role because we were frustrated by repetitive, un-creative, and inefficient work. That's hardly unique to games -- being willing and able to learn whatever it takes to make a job better is useful in a lot of situations and businesses. I did something like this in graphic design before I got into the games business -- doing things like photoshop automation, better methods for dealing with images in DTP, that kind of thing.
A lot of tech artists start as production artists , and you might find it easier to get started that way. If you have graphic design and coding skills you should also look into UI and UX -- these are areas where it really helps to know how code works, and also they are often very inefficient and ripe for a good tech-art pass on things like efficiency and automation.
I would not worry too much what it says on your business card - if you're solving problems and making things better in some kind of graphics role, you're one of us.