There is a President of the European Council (Charles Michel, elected by member countries' heads of state), there is a President of the European Commission (Ursula von der Leyen, elected by the European Parliament), and there is a President of the European Parliament (Roberta Metsola, elected by the members of the parliament).

Seats in the European Parliament are not proportionally allocated (small countries have more seats per capita), and member countries have different systems for allocating their seats among representatives, but nobody uses first-past-the-post, maybe except Hungary (debatably - their system is weird).

So, no, none of the "EU presidents" are elected by popular vote strictly speaking, and none of them have a role that is even remotely similar to the US presidency.