Unfortunately, nothing like that is supported by SD.
What you can do is, to write a web-api application, that knows the approval rules of your organization. This app should fill in the approval fields on the service call with the next approvers whenever an approval has finished. You can call this app from a db rule via the 'command exec', or 'data exchange with external system' actions.
The only way I know to do it is have workorders for each step in the approval process and make them dependent in a predecessor/successor chain. If you have a DB rule which starts the successor as soon as the predecessor completes, you should be able to do this.
If you need more assistance can you post an example of what you are trying to do.