If we're talking no experience, need $1k a week, first place I would go is a warehouse job. If there weren't warehouse-specific options available in my area, I would branch off into other manual labor jobs.
They pay better than most entry level jobs people gravitate to (fast food, retail, etc) and are nearly always hiring.
> If you had no connections, money, investments, or any property/possessions to sell, what would be your first steps?
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.
Manual labor work. I think in the US this is achievable although maybe not exactly easy.
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.
Your calculation assumes an overhead of zero: for example you assume that knocking on doors takes up no time.
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).
I did mention it does depend on location, which you just ignored. In your paranoid neighborhood maybe not viable but that's not most of the USA. I mentioned this from practical experience, not of me doing it but of hiring people this way.
There's an aging population that appreciate this because not everything is on an app. Really just seems like the fear of hard work.
They pay better than most entry level jobs people gravitate to (fast food, retail, etc) and are nearly always hiring.