No. Even though such claim is in Dirac's classical work it is not true.
See e.g. Hong-Ou-Mandel interference, when exactly two different photons interfere. For quotation of Paul Dirac, and some more analysis, see:
- Andrzej Dragan, Paweł Ziń, Interference of Fock states in a single measurement, arXiv:quant-ph/0703273v1
However, there is some truth in Dirac's claim - photon interferes only with it itself if you have only one detector to measure.