No, "asleep" is the opposite of "awake". Woke is a different construct.

Maybe an antonym to "woke" could be "slept"?

It couldn't, because that has a negative connotation in that context.

“woke” the adjective not the past tense verb. https://www.merriam-webster.com/dictionary/woke

For clarity, my suggestion was also sarcastic.

As was I :)

“Woke” in this context is literally a synonym for “awake” [1].

It’s best to learn nuances of word usage before “correcting” others.

[1] https://en.wikipedia.org/wiki/Woke