In the book of Isaiah some of the verses make reference to angels with wings (Seraphim). They seem to have a human form with wings attached to their bodies. Also in the book of Daniel there is mention of Gabriel flying, although wings are not specifically spoken of. As a whole the Bible says very little about wings. Generally in most passages angels are not depicted with wings
“Above it stood seraphim; each one had six wings: with two he covered his face, with two he covered his feet, and with two he flew” (Isaiah 6:2).
“Then one of the seraphim flew to me, having in his hand a live coal which he had taken with the tongs from the altar” (Isaiah 6:6).
“Yes, while I was speaking in prayer, the man Gabriel, whom I had seen in the vision at the beginning, being caused to fly swiftly, reached me about the time of the evening offering” (Daniel 9:21).