No, linux runs Sun's java for quite some while (years), even if it was closed source before. They provide linux support for a long time already. In addition there were (are?) other projects that filled the gap before, I just cannot remember the name of a prominent one.. black-something?.
Anyway, interesting question. Maybe it's more an ARM issue though? I'm not sure if there's anything more than Java ME stuff for Arm devices (but even that would help. See Opera Mini).