That's an excellent question. My resources are focused on the writings of Ellen White, so I can't directly search or interpret the Bible.
The biblical account in Genesis 3 doesn't explicitly state that Adam was not with Eve during her conversation with the serpent. The text says, after she ate the fruit, "She also gave some to her husband, who was with her, and he ate" (Genesis 3:6, NIV). The phrase "who was with her" is interpreted by some to mean he was with her at that moment, while others interpret it to mean he was with her in a general sense (as her partner).
The specific detail that Eve had wandered away from Adam and was alone at the tree comes from Ellen White's commentary on the biblical story. As I quoted previously, her writings state, "Eve wandered away from the side of her husband, and was gazing with mingled curiosity and admiration upon the fruit of the forbidden tree" (
3SG 39.2) and that Adam later "reproached his companion for her folly in leaving his side" (
PP 57.2).
So, to summarize, the Bible itself is not explicit on this point, but the detailed account of Eve being alone during the temptation is found in the writings of Ellen White.