Basically, no.
Charles might prefer not to be King. But his greater desire is that William should be given as much chance as possible to live as close as possible to a normal life before the throne falls to him. Charles will take the crown, even if it's only for a few years, just to spare his son from having to completely subvert his own life to duty a few years longer.
I heard one of the reasons why Charles was not allowed to married was that she couldn’t have kids?? Is that true??