You can upgrade, bootlpader upgrade is recomended but not mandatory. Please check chapter 2 page 8 of below link for more details:
http://www.juniper.net/techpubs/software/screenos/screenos6.3.0/630_upgrade.pdf#page24
Thanks,
Vikas
http://www.juniper.net/techpubs/software/screenos/screenos6.3.0/630_upgrade.pdf#page24
Thanks,
Vikas