Unlikely. There are 2 ways for viruses to enter cells - mimic something the cell normally uses and trick the cell into "eating" the virus, or grabbing onto a structure on the cell membrane and forcing its way in. Either way, it's largely dependent on the target cell
Different cell types can have vastly different surface structures and receptors. Viruses that already thrive on infecting a specific type of cell have no need to develop the ability to infect other types of cells.
A virus that could enter every type of cell would look like a completely unfolded Swiss Army knife, requiring latches and grapples for each type of cell. The latches and grapples could interfere with each other, the end result being a virus that's ineffective at infecting any cell. This would actually discourage viral mutation for such multi-infection (as an intermediate form with new cell adapters could decrease its fitness on its main cell targets)