Where mesopotamians nomadic and did they farm?

Yes, and yes.

Explanation:

Agriculture was the main economic activity in ancient Mesopotamia. Operating under harsh constraints, notably the arid climate, the Mesopotamian farmers developed effective strategies that enabled them to support the development of the first states, the first cities, and then the first known empires, under the supervision of the institutions which dominated the economy: the royal and provincial palaces, the temples, and the domains of the elites. They focused above all on the cultivation of cereals (particularly barley) and sheep farming, but also farmed legumes, as well as date palms in the south and grapes in the north.