I couldn’t say based on the image where the other end of those wires are attached, but in general, no, you would only have a single wire in each terminal.
If you have two wires connected to the terminal, and if each wire pair goes to a sensor, that is called wiring in parallel. If you wire sensors in parallel, ALL of the sensors on that circuit would need to open at the same time in order for the zone to open properly.
Series wiring is what is used for sensors. In a series circuit, the zone opens if ANY of the sensors open.
I can’t think of any obvious reason why the wiring should look as it does. Was it wired that way on the old panel?
Are any of those zones supposed to be Glass Breaks or Motion Detectors?