Comment by _delirium

Legally, no, but it's getting common for employers to Google-background-investigate potential hires, and arrest notices can come up in such searches, which employers may or may not put unofficial weight on. Though you might be better off in a big city. In smaller towns, this kind of administrative stuff ends up published: local papers, or even the sheriff's office directly, often put out an arrest blotter with the names/ages/circumstances of everyone arrested in the past day or week, and those end up indexed forever (I gather this kind of situation, where a non-public figure gets minor but potentially harmful facts about themselves prominently indexed Forever, was one of the things the EU's "right to be forgotten" business is worried about).