Technically, the answer to GP's question would be no, because Jupiter doesn't emit the radiation, it just traps and accelerates the particles (mostly coming from solar wind) in its magnetic field...
A lot of the radiation is produced by a ‘breeding’ process where volcanos on Io emit vapor that gets ionized and then accelerated to make more radiation that ionizes more vapor.
Katherine de Kleer said "It's like Io is the massive polluter of the Jupiter system" on the Lex Fridman podcast #184, the Io part starts ~14mins in for the curious