Viruses themselves don't actually multiply. They just force the host (in this case the bacteria) to produce more copies of the virus. Is there some kind of rule that a drug can't force the bacteria to produce more of the drug?
Every virologist I know considers viral replication to be a process of the virus. This argument is like saying "Humans themselves don't build porches, they just force their power drills to."
And while there's no rule that prevents that, I don't know of a single drug - or even the suggestion of a drug - that's capable of integrating with a bacterial host genome, producing the needed compounds, and then exporting them out of the cell.
It's not impossible, no, but it's not a thing presently happening.
