From what I understand, a battery produces potential difference across its two terminals. It does that by producing an accumulation of charges (positive charge in the positive terminal, negative in the negative).
And from what I understand, static electricity is all about having one object positively charged and one negatively charged. So when you rub a balloon against a wool cloth, the balloon will gain electrons, becoming negatively charged, and the wool will lose them, becoming positively charged. When these objects will come in touch, the charges will balance out and they'll return to equilibrium. (Hope this is correct so far).
So is is correct to view the two terminals of a battery as the balloon and the wool, just in the battery there's a chemical reaction making sure that the charges don't balance, rather kept imbalanced?
Related question: can we say that there is voltage across the balloon and the wool? How is it measured?