We are largely hobbyist here, so knowledge of industrial products may be limited.
There is no shortage of industrial robot arms that would do the job:
https://www.robots.com/robotsHowever, these would need to be programmed. And a "hand" added and programmed.
On the hobby level this is also doable but the size of your panel stretches available resources. There are a number of linear rail actuators that are designed for the 3D printer market that would have to be extended.
So, your project is certainly doable provided that you have MINO (money is no object).
So, nothing off the shelf or easily doable. A fair size project, you have chosen!