High-level answer: Yes. Almost by definition there might have to be coevolution between a phage and a host, in the same way that humans coevolve with our viruses (in the form of e.g. immune repertoire). Pathogens kill/disadvantage susceptible hosts, imposing a selective cost to susceptibility.
Detailed answer: Yes. E. coli has CRISPR arrays that target T4, and T4 has mechanisms for escaping CRISPR processing by E. coli. This is pretty textbook coevolutionary arms race. This is reflected somewhat in the different host ranges of phage, as you suggest.