It depends on where you live, sure. But in the US, there’s a fair bit of resistance to bribery.
1B gets you in the door. You still need to know the right people to pay off. You can't just google it. This is why you see all the billionaires at their billionaire parties, good old networking.
Trump tends to pardon the people who will get him into the news cycle, like sadistic war criminals, corrupt or openly racist officials like Blagojevich and Arpaio, or whoever Kim Kardashian told him to.
https://en.wikipedia.org/wiki/Bill_Clinton_pardon_controvers... https://en.wikipedia.org/wiki/List_of_people_pardoned_by_Bil...
You should read Swiss investigative journalist, Daniel Amman’s King of Oil.
The furor over these pardons including the Marc Rich pardon was 100% political.
Clinton pardoned relatively the same amount of people as previous presidents but with a heavy focus on “leftists.”
Also, Marc Rich had left the US before he started working across trade embargoes and singlehandedly built the OTC oil market. He also worked actively with the US on covert oil sales while being prosecuted by the DOJ.
Going through a few intermediaries, I don't see a reason why a presidential pardon in exchange for $100MM in crypto couldn't be arranged either, especially in the dying hours of a presidency.
Obviously this is all silly spy novel stuff, but a reasonably intelligent person with mid-level or better criminal connections and literally a billion dollars to work with, coupled with a hell of a lot of motivation, could probably figure out something.
All that being said, outside of real political backing (i.e. continual payments every month), I'd doubt the person would remain free for very long after the deal was done.
First thing is to get away at least one town or two, preferably a couple counties, from where people might recognize you. Use rail or a taxi, and shut down your phone.
Pay hotels, food, gas, anything in cash so it can't be used to track you down, get rid of your old phone/sim card/computer, don't use Facebook to contact family or "associates", don't do drugs or at least stay away from trouble (bar fights) and for heavens sake don't drive a beater car, use rail or bus instead (flights are monitored).
Even crossing borders is easy in many cases. Dress up as a hiker and go for it. If you're not in a narc smuggling area and have sea access, buy a small rubber boat (with cash) and use that to get out of the country.
When cash runs out: agriculture, anything in the hospitality area (hotels, motels, pubs, restaurants), cleaning and moving services, construction/teardown always have high demand for new able and willing staff, pay in cash and don't give a fuck about who you are as long as you show up on time and do your work without stealing stuff. If you're into sex work and it's legal where you are, it's a great way to make money.
You need a place to stay? Every area has some sort of ... shoddy district with cheap lodging, Craigslist or whatever can get you actual cheap rentals.
Other things to avoid? Mentioning you're on the run, bragging about whatever crime you did, stealing, getting into fights, driving a car (random traffic stops, "your tail light is broken"), breaking more than one law at a time.
You can get a fairly long run if you stick to the above, many years even without resorting to bribery. If you are in an area where bribery is the norm though - South America, Eastern Europe, Russia, Africa come to mind - then by all means go for it, might make your getaway a whole lot easier.