While not at the contracting company I was at, we did have a situation like that unfold but in a morbid way.
This guy got hired on this contract but he was more interested in the life insurance policy than anything else. It was very odd and strange but they said if he passed away while employed, his spouse would get a full year's pay regardless of when he passes away. So he came on board, one month later went to the hospital and died a short time later. Apparently he found out he had terminal cancer and was given a few months to live but he had no life insurance but had his military retirement but once he passes away his wife would not get it since he never took out an survival benefits or life insurance when he retired.
While there is a certain stigma that government work is easy, it is not. Most of them require a lengthy background check. Let me say getting fired from a government job would be very harmful to your life. There will be a red flag in your record that would immediately prevent you from ever getting a contract or government job. When you apply to a contract position, they run a soft review on you before even filling out the government forms and if there is a red flag on your record, they would immediately not consider you for hire regardless if said red flag can be explained. Also, there will be a permanent mark on your record that could prevent you from passing normal background checks to get hired. Not only that when you do get a government job, they run a background check one of which checks your prior work history. They would see you were fired multiple times in short order and that is an area of concern. Failing a background check for a government job is just as bad as getting fired from a government job. That means your record is so bad and unforgivable that they aren't willing to trust you even being around a secure area. Overall it is very stupid to get fired from a government job.
Overall though, I do not recommend this approach and instead work at places to work. I guess in theory you could hire into multiple remote positions, set up a direct pay, and avoid work as long as possible until you get paid. Probably wouldn't be a full week's pay either as they no doubt would fire you on your first or second day of no contact.