Pass like give to another, or pass like miss something?
Can you also say: "Εγώ αυτό περνώ"?
No, if you want to use the strong form of the pronoun, it has to go after the verb.
¿That would be in this case something as: «Εγώ περνώ αυτό»?
Εγώ περνώ αυτό is correct, but here αυτό means 'this' not 'it'. Αυτός/ή/ό function as both personal and demonstrative pronouns. The difference is, as demonstrative pronouns they have no weak forms (τος, του, τον etc.) nor can they be omitted.