Green’s Dictionary of Slang

impossible, not allowed, out of the question.

1846		Swell’s Night Guide 76: She felt inclined to mug her rival, only she thought it would be no bottle, cos her rival could go in a buster at a slog.
1865		Leaves from Diary of Celebrated Burglar 10/1: We looked around for some time before we had an opportunity of trying what the ‘screws’ could do at the front, and finding that it would be no ‘bottle’ there without ‘bursting’ it, we gave up the notion of an entrance that way.
1884		Dundee Courier 13 June 7/5: No bottle, Fred, the cursed Mendicity people have persuaded the old parson to stop giving money to cadgers.