Have seen it happen, actually - we were on a vacation in Vegas and a friend of mine won 10 straight hands in a row at blackjack. He wasn't "card counting", he's not that smart - he was just lucky enough to be dealt 19+ every hand (he got three facecard+ace combos, the "upside" of the multi-deck shoe), and the dealer was getting to 17 and staying.
The pit bosses came down to the table with two bouncers, took his chips, dragged him to the office, "asked him questions" for an hour while the rest of us were wondering what to do and if we should call the cops. Then they pushed him out, marched him over, made him cash out his chips, and forced him to accept a "banned from blackjack" stamp on his hand before they'd let him go back to his room. Took a whole week and five good scrubbings with shop soap (the orange pumice stuff) for that mark to go away, his boss looked at him REALLY funny the first day back after vacation before hearing the story.