I know how the voltaic cell normally works, producing current. It is not what I'm asking about. I know that normally, the Zinc electrode slowly dissolves (it is anode, $\ce{Zn -2e^- -> Zn^{2+}}$), passing electrodes to the Copper electrode at which $ H^+ $ ions from the acid electrolyte get reduced to $ H_2 $ (it is cathode, $\ce{2H^+ +2e^- -> H_2}$) Thereby creating electric current.
Now my question is, what if we passed current from an external voltage source to that cell? Not in the same direction of current, like an in series battery would be connected, but in the opposite direction?
By doing this, I hope to block the flow of electrons from the Zinc electrode (and to get it to stop dissolving?) Then reduce some cations, like $ H^+ $ or even $ Zn^{2+} $ after I run out of $ H^+ $, which is more easily reduced?
And oxidize the anion of the acid of the electrolyte on the copper electrode?
Are any of my ideas correct?
I am sorry if this is a bad question, I am a beginner. Please don't hate me, it's my first time posting here and I tried googling.