I only know second hand about some corners of AWS and Kindle where I know people, but no, they don't. Under US law, AIUI, you can be classified as exempt from overtime pay like this if you use a computer in your job (which is a weird standard leftover from decades ago when this was rare) and make more than some minimum salary, about 50k I think (changes every year). Since essentially all IT labor makes more than that, it is rare to be paid extra during oncall.
This of course means that the company is not incentivized at all to minimize oncall time by doing things like investing in cross training, or backfilling after resignations, since it's just cheaper to make your engineers be on call half of their (waking AND sleeping) lives.
This is obviously unjust and one of the reasons we need to increase our sector's union density. If you're actually interested in that and don't know where to start, I would recommend CWA's CODE training:
https://code-cwa.org/upcoming-trainings
You can learn about the organizing process (which is not as mysterious and daunting as you probably think) and, more importantly, get in touch with experienced organizers who can help get you started and help an the way through the process. CWA has had a lot of successes recently, and the momentum continues to grow.