Did Batman: TAS' Joker origin involve a vat of acid/skin bleaching?

Question

I was watching the ending of Return of the Joker where Terry fights the Joker one-on-one. Towards the end of the fight Terry says something that caught my attention:

So you fell in a tank of acid, got your skin bleached, then decided to become a super villain. What, you couldn't get work as a rodeo clown?

For reference:

at 2:43

Which is odd. I'm not familiar with Batman: The Animated Series ever dedicating itself to one specific Joker origin, let alone The Killing Joke. In fact it runs kind of counter-intuitive to the peek at the Joker's origin from Mask of the Phantasm where

The Joker was an ex-mobster working with Sal Valestra.

Did The Animated Series ever confirm that Joker became a villain after falling in a vat of acid?

Answer 1

In the "The New Batman Adventures" episode "Beware the Creeper," news reporter Jack Ryder does a story on the Joker at the Ace Chemicals factory, where we see a recreation (with actors) of Batman punching Joker into the acid vat. It's unclear whether this is a dramatization (it seems out of character for the DCAU Batman to purposely knock someone into a potentially-deadly tank of chemicals), aka maybe the Joker fell instead of being punched, but regardless, this is the closest we get to an answer. This is, of course, post-involvement with the Valestra gang.

Answer 2

When pre-joker or also known as the Red Hood fell into the chemicals and the Ace Chemicals plant the chemicals bleached his skin white, made his hair green, and made his lips bright red(al though in some litterations the bright red lips is just lipstick). The day he fell in there chemicals vat was also the day he lost his wife and unborn child to the mafia. The disfigurement from the accident drove him mad, in a way he sort of hates himself or hated himself because of the disfigurement.