It should be doable. The way these things are wired, you wouldn't use a common. You'd instead wire a matrix with diodes to avoid ghost presses. The firmware on the arduino or RPi microcontrollers will constantly scan for keypresses. So much would depend on the exact mechanism of your typewriter, but you could find a place where a keycap moves parts in close enough proximity to make your own switches, or if some part of the mechanism presses straight down, you could just have that actuate mechanical keyboard switches.
For wireless, you'd probably want ZMK. QMK is the most famous, but ZMK supports more wireless MCUs. I use KMK, a firmware where everything is human-readable python. I understand it has some wireless support, but I've never looked into it.