The short answer is no. You are asking about two concepts neither of which works in MS Project. I want to be sure I address each.
First is the idea of having two predecessor/successor links or relationships between the same two tasks. You are looking to have both start to start plus 5 day and a finish to finish plus 5 day links from Task A to Task B. MS Project will only support one link between two tasks. It does not treat the finish to finish link as something different.
Second is the idea of "natural" -vs- "workable" days. I would call those calendar days and working days. These kinds of restrictions are set up by creating different calendars or just putting different periods of working days or non-working days in whatever calendar you are using.
Edit: OP commented that we can use edays as the unit so we get elapsed days. Non working times will be ignored. I have not used this, but it is correct. Thank you for this! End edit
Then ... you can assign one calendar to a task. MS Project does not support calendar assignments to predecessor / successor links. That would be pretty complex and would require additional settings for which calendar to honor if the tasks and the links had calendars assigned. I digress.
Based on the use case my solution would be to put a tasks in for pouring, allowing the concrete to set, and installing the pipe for each section. (I assume set time is the reason for the 5 day wait)
Or like this:
The advantage of the 2nd way is you can copy/paste at the summary task level to more easily replicate many pipe sections.
I prefer more detail. I've worked jobs where there is a laboratory analysis that comes back at 7 days after the pour. If the concrete is not up to strength the next tasks have to wait another seven days. So if that happened you just extend that one task and everything gets pushed out.
Hope that helps!
Please mark this as answered if it at least tells you what you needed to know.