Not really.
He dissed people on the east coast, with east coast cats on the track. He dissed people from NY with NY dudes in his group. He dissed people from NJ with NJ dudes by his side. He wasnt hating on the East, if anything, when Pac dissed Big, the whole Eastcoast turned on Pac. All those rappers sided with Biggie, Nas, Jay, Mobb Deep, so thats why Pac dissed them, not because they were from the east but because they sided with Biggie.
And he threw up the W to represent the westcoast, which was always down for him. Everyone just took sides, the west took Pac and the east took Big. So Pac repped for the west, cause they were down for him and he was out in the west. Thats just how the chips fell. But it was never a West/East beef in the sense that he hated the east coast, or people from the east. Fuck Pac was born in NY, his closest friends were from NY and Jersey, it just so happened that his enemies and their friends were too.