Not at all. There was lip service paid to Pan-Arabism and unity, but Arab states still routinely conspired against one another. Nasser's brief union with Syria was a disaster, the Syrians and Egyptians spent its entirety politically squabbling and trying to usurp the other. The attempted union between Jordan and Iraq had similar results. The Saudi's and Egyptians waged proxy wars in Yemen. Jordan and Syria came to near-blows. The PLO created a soft-apartheid regime that discriminated against non-Palestinians and Shia's in Southern Lebanon and attempted to do the same in Jordan. Fabulous speeches was given to supporting the Palestinians and destroying Israel, but policy regarding that differed wildly from Arab state to Arab state.
Ultimately one only needs to see the truth of the situation by realizing that the bloodiest wars of Nasser's time were not the Arabs engaging in a common struggle against the Imperialists or Israeli's, but rather each other.