So at least in the Game it is surely possible. (Lucky egg evolve session here we go! Ahh, 2016 vibes...)

To evolve a Pokemon you must spend a specific number of the correct Candy type, but you'll be rewarded with 500 XP and 1 extra Candy of the same type. You will also receive the evolved form of the Pokemon.

If you need more Candy to be able to evolve a Pokemon, surplus Pokemon from that family can be transferred to Professor Willow in exchange for 1 Candy. You can't trade Candy with Professor Willow to get a Pokemon back.

It is unclear whether freshly evolved pokemon can be exchanged for candies.

There is a fundamental flaw in the kata: the pokedex doesn't have information on what a pokemon species evolves to, but expects 3-stage evolutions to be handled, as shown by these sample tests:

Test.assertEquals(evolveCalc({Squirtle: [1, 250], Wartortle: [1, 250]}), 1500, 'Expected 1500');
Test.assertEquals(evolveCalc({Charmander: [2, 5], Charmeleon: [2, 5], Charizard: [437, 5]}), 3000, 'expected 3000');

In general you cannot assume the evolution of a pokemon is always the one with the next pokedex No.: This is already untrue since Gen II (and Pokemon GO already goes up to Gen IV IIRC)

Kata needs to be upgraded to latest Node version.

Input param name is incorrectly named: it's an object but is named arr.

Fun challenge! Thanks for writing it :)

The thing is to get the maximum amount, so you must evolve them first only then transfer. Same as how RPG tactics applied!

"Remember, you'll need to take into account the extra Pidgey Candy gained from tranferring and evolving Pidgeys." - First of all, there is a typo, should be "tranSferring", I guess. Second, it is unclear if you can transfer already evolved Pidgeys, thus getting not 1, but 2 candies after an evolve (if it walk like a Pidgey, then it must be a pigley - so Professor most likely will exchange them too). Third, the phrase "you won't get the Pidgey back" - is unclear, especially to not native english speakers and it would be great if it gets clarified. (do you mean that we can't exchange Candy for Pidgey?)
Thank you.

raising again

and WTF did you resolve this issue? The typo isn't corrected. Did you even changed something to the description?

"Remember, you'll need to take into account the extra Pidgey Candy gained from tranferring and evolving Pidgeys." - First of all, there is a typo, should be "tranSferring", I guess. Second, it is unclear if you can transfer already evolved Pidgeys, thus getting not 1, but 2 candies after an evolve (if it walk like a Pidgey, then it must be a pigley - so Professor most likely will exchange them too). Third, the phrase "you won't get the Pidgey back" - is unclear, especially to not native english speakers and it would be great if it gets clarified. (do you mean that we can't exchange Candy for Pidgey?)
Thank you.

Can I transfer or evolve them? Or is both possible? Evolve as many as possible than transfer as many as possible to evolve as many as possible again...?

Ok, submit and passed. Thanks

Apologies. copy and paste error.

Fixed.