It's possible to get all 3 stats at the same time yes... However the problem is whether it's possible to cap all 3 stats at the same time, I've yet to see one anywhere close to capping all 3 as of yet. That and even if you did...
Eurytos' Bow
Dmg:71 Delay:490
STR+3 AGI+3 RACC+2 RATK+23
Fay Gendawa
Dmg:72 Delay:486
STR+5 Ratk+20
They're still pretty evenly matched... Anything lower than that Ebow would have it beat instantly.