Yes and no. Yes, in the sense that any system which is not based on an intractability assumption that reduces to the discrete logarithm problem is of research

Yes and no. Yes, in the sense that any system which is not based on an intractability assumption that reduces to the discrete logarithm problem is of research interest for post-quantum cryptography. No, in the sense that some of the systems under consideration predate serious research in quantum cryptanalysis (including Shor's and Grover's attacks).