Some circumstantial evidence points to the possibility of identifying Imhotep and Joseph. The Wikipedia article on Imhotep notes under the section "Imhotep's Dreams" (emphasis added for comparison):
The Upper Egyptian Famine Stela, which dates from the Ptolemaic period, bears an inscription containing a legend about a famine of seven years duration during the reign of Djoser. Imhotep is credited with having been instrumental in ending it. One of his priests explained the connection between the god Khnum and the rise of the Nile to the king, who then had a dream in which the Nile god spoke to him, promising to end the drought.
This has a lot of similarities to the story of Joseph from Genesis 41:25-36 (NKJV):
25 Then Joseph said to Pharaoh, “The dreams of Pharaoh are one; God has shown Pharaoh what He is about to do: 26 The seven good cows are seven years, and the seven good heads are seven years; the dreams are one. 27 And the seven thin and ugly cows which came up after them are seven years, and the seven empty heads blighted by the east wind are seven years of famine. 28 This is the thing which I have spoken to Pharaoh. God has shown Pharaoh what He is about to do. 29 Indeed seven years of great plenty will come throughout all the land of Egypt; 30 but after them seven years of famine will arise, and all the plenty will be forgotten in the land of Egypt; and the famine will deplete the land. 31 So the plenty will not be known in the land because of the famine following, for it will be very severe. 32 And the dream was repeated to Pharaoh twice because the thing is established by God, and God will shortly bring it to pass.
33 “Now therefore, let Pharaoh select a discerning and wise man, and set him over the land of Egypt. 34 Let Pharaoh do this, and let him appoint officers over the land, to collect one-fifth of the produce of the land of Egypt in the seven plentiful years. 35 And let them gather all the food of those good years that are coming, and store up grain under the authority of Pharaoh, and let them keep food in the cities. 36 Then that food shall be as a reserve for the land for the seven years of famine which shall be in the land of Egypt, that the land may not perish during the famine.”
The seven years of famine and Joseph's plan he encourages Pharaoh to follow to alleviate its affects, which plan Pharoah puts Joseph in charge of (v.39-41), parallels the ideas that Imenhotep was "intrumental" in "ending" the seven year famine.
The name, Imhotep is Josephs name taken from the name of God as I-Am. If so Abraham knew God's name as I-AM!
So was Joseph known as Imhotep to the Egyptians?