Making non-nuclear radiation is easy.
The XRF sitting beside me right now has a 4W tube using only 200 µA and makes just over 1 million Counts Per Second of 50 keV peak Bremsstrahlung.
The x-ray tube itself is about the size of half a finger, plus a fatter Peltier cooling part about two fingers wide.
It does require high voltage, but that is stepped up from a 9.6V Lithium Ion battery the size of a chocolate bar that runs the device for 4 hours almost continuously. Most of that power is consumed running the cooler and the included Windows-based software and interface.
How radiation might get made in the Glowstick is a bit more difficult to figure out.