I'm fairly sure that бути doesn't, but are there any others? For example, I can't say I've ever seen знати with prefix.

Spanish also has two past tenses. In Spanish all verbs can be conjugated in either, but sometimes it changes their meaning either because the word's meaning isn't consistent with the tense or because the tense has certain implications on the meaning of the word.

For example "saber"(to know, знати) means "knew" in the imperfect, but "found out" in the preterite(similar to past perfect).