The account of Jacob’s dream does not say that the angels had wings. Genesis 28:12 says, “He had a dream in which he saw a stairway resting on the earth, with its top reaching to heaven, and the angels of God were ascending and descending on it.” Artists’ conceptions of this dream usually show angels with wings.

The Bible in this account does not say the angels had wings.  Angels are spirit beings.  They can appear and disappear in an instant. They have the ability to materialize and appear to be actual human beings, as  they  did  to  Abraham  in  Genesis  18  and  Lot  in  Genesis  19. Obviously, angels do not need wings.

All of the above having been said, there are biblical accounts describing angels with wings. Are these accounts meant to be taken literally or figuratively?  In Ezekiel, chapter one, we read of Cherubim as having wings.  However, they are also described as having four faces; a man, a lion, an ox and an eagle as well as wheels and feet the color of burnished brass.  Their general appearance is like “burning coals of fire” (Ezekiel 1:7 &13). We believe these beings are used in a  symbolic way just as they were in the Ark of the Covenant in the Most Holy place in the Tabernacle (Exodus 25:18-20). In this case they represent the attributes of Love and Power, waiting until Justice is satisfied (the blood applied on the mercy seat between the Cherubim) in order to wing their flight to uplift and restore the world. So also in Ezekiel’s Temple, the Cherubim are shown with wings outstretched, active on their errand of mercy, with faces of a man (Love) and a lion (Power). We read of Seraphim in Isaiah 6. In this chapter the Seraphim take coals from the alter of the temple and place them in Isaiah’s mouth.  This incident is obviously a vision and is not literal because
Isaiah speaks soon afterwards (verse 8). Just as the coals are not literal, the Seraphim are not either. Can we take these symbolic creatures and apply their symbolic characteristics as literal elements of an angel?  No we cannot. Angels are spirit beings and do NOT have wings.