The concept of having a portion of something can be flipped, like a coin, to form its antonym. The opposite of having a portion of something would be to not have a portion, or have none at all. The term "portion" implies a share or a division of something, so its antonym would be a state of lacking, or not having any portion at all. Words such as "none", "zero", "not a single bit," and "nothing" can be used as antonyms for the phrase "have portion of." These antonyms can be used in a context where someone possesses a portion of something, but then suddenly loses it.