No, there are no elements that have more electrons than protons in the nucleus. The number of protons in an atom determines its atomic number and defines the element. For example, hydrogen has one proton, helium has two protons, and so on. The number of electrons in a neutral atom is equal to the number of protons, ensuring overall electrical neutrality.
However, it is possible for atoms to gain or lose electrons, forming ions. When an atom gains or loses electrons, the number of electrons no longer matches the number of protons, resulting in a net positive or negative charge. An atom that gains electrons becomes a negatively charged ion (anion), while an atom that loses electrons becomes a positively charged ion (cation).
So while an atom itself cannot have more electrons than protons, ions can have an unequal number of electrons and protons.