I don't think so. Heavy damage dealers and brawlers like Darius, Garen, Trundle and Hecarim are gated by their general lack of utility. What utility they DO get is usually combined with an item (Black Cleaver with Garen's E), an item, period, or is extremely limited in what they can do (Darius can grab multiple targets, but he has an extremely short range with it).
That's the general design philosophy here. High damage champions (read: assassins) have little to no utility to ensure they can't be a self-sustaining murder machine, and what utility they DO have is usually gated by some unique handicap (Ekko's W has an impressive AOE stun, but both he and the target need to be in the bubble at the same time, and he needs to predict where the fight will be four seconds from now, and the enemy has to lack that foresight. Nocturne has to keep the enemy close for a few seconds before his fear goes into effect.). Supports, at the same time, have lots of innate utility while lacking any real, consistent damage. Some supports like Bard, Nami and Sona deal their damage in small bursts. Lulu deals her damage in small, but many volumes. Taric needs to get close to his targets to do damage when he has a crappy stun and no poke or gap closer. Braum's bonus damage is negligible after the stun takes effect (unless you build Liandry's). And then some supports barely deal damage at all (Soraka and Janna).
Supports also tend to lack any real durability if they aren't tanks. Again, this is intentional, otherwise the support would win against damage dealers in a straight up slugfest. Making an AD support would be difficult, as you're trying to stop them from being too much of a fighter while giving them some meaningful utility. Otherwise you just get another brawler.
This is usually how the different classes are organized:
Fighter: medium to high damage and durability, medium to low utility
ADC: High damage, high mobility, low to no utility
Support: High utility, low to high durability, low damage
Mage: Medium to high damage and utility, low durability
Tank: Low damage, low to medium utility, high durability
Assassin: Extremely high damage, medium to high mobility, low to no utility
If you put this all on a Venn Diagram (clockwise, it would go Fighter > Assassin > ADC > Mage > Support > Tank), no champion exists in the center. There is no champion that can literally do it all (high damage, high durability, high utility) because that is deadly. If there is a champion that does it all, then why pick anyone else?