May be in Canada but not in Europe anymore. That's was the normal path a couple of years ago. Nowon in Europe nobody would give your first chance on a turbo prop if you don't have t/r of that aircraft and better if hours on type too or many hours of multi-engine. Even then you are not sure to have the job.
For learjet have a look in USA web-site I think overthere you should find some opportunites.
Cheers