Pipercub,
2 Issues come to mind to do what you are thinking. First is impedence and level matching the inputs to the audio amp of the juke. You didn't mention what is the juke is, that might be a help. If it's an older juke using a ceramic cartridge then it *should* work as-is. A ceramic cartidge outputs near standard line level signals. If it's any form of a magnetic cartridge, then you would have to find a way to reduce the output from the DVD player. Mag cartridge levels are much lower than line level and the juke's pre-amp will be designed to boost accordingly.
Another issue is going to be sound quality. Vinyl recordings had a specific EQ curve applied during mastering, known as the RIAA curve. The purpose was to get around some limitations of vinyl, mostly in the bass region. A proper record player pre-amp will apply the inverse of the curve to restore the sound. If you plug a DVD player, or any non-vinyl source into any pre-amp that was designed for vinyl you will likely find the sound quality less than spectacular.
Soooo... what's the juke ?? There may be ways of dealing with this if you don't mind a little hacking into the amp

D