We don't usually drop pronouns, but technically it's possible.

Готовлю is mainly "am cooking" from what I understand.

I think я приготовлю means 'I will cook'

Готовить seems to be used to mean "was/were cooking". приготовить seems to mean "have cooked"

мне is the wrong case. Here Nominative is demanded, so you have to use я, because "I" is the subject in this sentence.