There is a first party web hooks plugin available here:
That may well do what you need, but I have no personal experience of it, and of course any pre-built plugin will have some limitations.
Alternatively, you can write your own module to do this of course (https://craftcms.com/docs/3.x/extend/module-guide.html)
In essence, in that, you would listen to Commerce events (see https://craftcms.com/docs/commerce/3.x/extend/events.html for information on those) - and take whatever action you like when the event is triggered. Of course you have the full power/scope of PHP to do anything you like at that point.
It's highly likely you'll end up needing at least some custom module code in a typical Commerce project, so this might be a good place to get started!