This is unfortunately a quite complex task as we would need to allow to accept any type of parameter and from the string it can be hard to distinguished between a date/string etc.
What I would suggest is to create a common procedure accepting parameters and write a test for each input. e.g. test_success_for_2 , test_fail_for_minus4 etc.

There are two more related issues:
#151 and #491

The challenge is not trivial and we can go into very different solutions.
Regardless of decided approach, it will require quite a bit of work.

Before starting the work, we should examine the pros and cons of different designs for parameter-driven tests.

We would not support passing parameter to test at suite run-time (as you propose).
Parameters should rather be part of suite definition.
Such approach would make tests non-deterministic as tests would fail/pass depending on provided inputs.