Wacom pens can work with different Wacom tablets. As a rule of thumb, the Wacom pens are forwards compatible. The most recent pens are cross-compatible within their generation.
As an example, the older Pro Pen 1 works with the Intuos 4 and 5, Cintiq 22HD, and Cintiq Pro. The newer Pro Pen 2, on the other hand, can’t work on the Intuos 4 and 5, but it can be used with the Cintiq Pro and Intuos Pro lines, such as the Intuos Pro Medium and Intuos Pro Small.
Typically, the non-pro Intuos tablets come with specific pens that don’t work with other tablets.
Similarly, the Wacom One Pen is only compatible with the Wacom One tablet. Besides, the Wacom One tablet is only compatible with the Wacom One Pen, and no other of the Wacom pens.
Unfortunately, Wacom pens are incompatible with drawing tablets of other brands as well. Not only is the hardware different, but also Wacom’s technology is completely different from the software used by other brands.