My question is given that a capacitor creates a two charged sides, by
the electrons jumping from one plate to another thereby making one
having an excess of electrons making it negative and the other
positive.
If you mean by "electrons jumping from one plate to another" that the electrons move across the space between the plates, that is not the case. Electrons move from one plate to another through a circuit connected outside the plates, not across the space between the plates. In so doing, the plate from where the electrons came has a net positive charge and the plate to which the electrons travel has a net negative charge, as shown on your diagram.
Given that an electron has a negative charge it should then travel in
opposite direction of the electric field which the wrong direction
that electrons move in a capacitor, for if it were the case that
electrons went to the positive end then there would be no negative
charged sided or positively charged side in the first place.
The electrons are not moving in the wrong direction when they move in a direction opposite the direction of the electric field. This is simply because the direction of the electric field has been established, by convention, as the direction of the force that a positive charge would experience if placed in the field.
Similarly, conventional current is the flow of positive charge, even though in most cases current is actually the flow of electrons (negative charge). The convention was established long ago when electricity was still not well understood. In any case, most of the time the direction is not important with respect to the effects of current flow.
Hope this helps.
