A lot vs. Alot: 9 Grammatical Pitfalls
by 1912, American English (said in original citation to be a Kansas City term), from jay, perhaps with notion of boldness and impudence. Related: Jaywalk; jaywalker.
To walk into or across a street at a forbidden place or without the right of way
[1916+; fr the naive behavior of a jay, ''rustic'']