They pay better than most entry level jobs people gravitate to (fast food, retail, etc) and are nearly always hiring.
That'd a harsh set of constraints.
I think the only answers remaining with those in place are "prostitution" and "crime", aren't they?
Ditch a digit, $100 in a week, and you could do it with any normal job, stack shelves or whatever, but I don't see that getting you to $1k. $500 perhaps, from what I hear of US jobs (you did mean USD not any of the other dollars, right?), but not $1k.
https://www.census.gov/library/publications/2025/demo/p60-28...
Now in some cases that is two or three people working, but a $52,000 a year job is not impossible to find for many people.
> no connections, money, investments, or any property/possessions
You're not going to get median, you're getting what you can reach on foot. Informal day labour, not median salary.
Mowing lawns, gardening, shoveling snow, cleaning, odd jobs, etc... It does depend on your location but this is still a fairly common thing in some places. Knock on doors ask people if they need work. Point out things that they could use help with weeding trimming mowing all of that.
But if you take an average of $40 a job spreading that over 7 days that's 3.6 jobs a day. If you can do an average of 12 hours of work a day it'll be at your $1,000.
Plus: is knocking on doors obsolete? I'm not sure you'd be able to get a response in my suburb (not that I've tried - too many gates - too many suspicious people).
And prep, traveltime and cleanup all take time too. for example a mower doesn't magically get to a house and it needs time and expense to run (and where I live you'd often be expected to dispose of clippings - costing time or money or favours).
Trite answers are cute, but they are not helpful.
https://alaskafishingjobs.com/earnings-and-wages/
https://www.goarmy.com/benefits/while-you-serve/money-pay (depending on how you count the various benefits, [re-]enlistment bonuses, etc.)