Unlikely, but it depends on your joint configuration, weld process, and material. A good starting point for you would be to look through the AWS pre-qualified welds. I don't have access to those pre-qualified welds, but looking through CSA W59 (Canadian Welding Code), it looks like the only time a single bevel with no root face will provide a PJP is in the situation shown in the attached sketch.
If you provide more info, you might be able to get some better advice.
There is so much you are not clear on in your post.
A weld with a root face dimension of zero would be a CJP weld.
It is possible to make a PJP weld with a Root Opening of Zero however.
I would suggest that you look in AWS D1.1 at figure 3.3, Prequalified PJP Groove Weld Details.
You will most likely find what you are looking for.
I also should have mentioned that you could do this with a backing bar and zero root face. For some reason I was thinking you didn’t want a backing bar.
OP - just to be clear on nomenclature, there is always a root face regardless of the weld type. It is the angle or profile of the root face that varies