Yes, in this "soft bearing" balancing machine you can use Balanset-1 to balance rotors.
Balanset-1 use influence coefficients method, so is possible to balance rotors of any weights and size. In this metod you need 3 runs - 1 initial run and 2 runs with test weights.
For detail see Step-by-step balancing procedurehttps://vibrobalance.com/index.html
Table 1. Step-by-step operations
You need keep the same (+-10..15%) rotation speed ( RPM ) in every run.
If you use compressed air to rotate rotor it may be some problem.
Maximum RPM for Balanset-1 is about 24000 RPM (400Hz).
In what rotation speed you suppose to balance turbocharger core?