The basic Dirac semimetals have time reversal and inversion symmetries protecting the Dirac points of touching the valence and conduction bands. Theoretically one can get Wey or/and nodal-line semimetals by breaking one of such dicrete symmetries. The magnetic field obviously would break the time reversal symmetry but this would not be a real problem for these new kind of materials. Thus, in principle there are not problems although most of the these topological materials are not magnetic.
Yes, a magnetic material can be a nodal line semimetal. In topological nodal line semimetals the band crossing points form closed loops instead of discrete points in the momentum space. Recently, a nodal line semimetal behavior is found in the magnetic topological semimetal state in the ferromagnetic half-metal compounds Co2TiX (X=Si, Ge, or Sn) with Curie temperatures higher than 350 K.