So he told the truth AND he lied! God had provided the food, but Jacob lied about who he was. We do not know God's plan or how He gets there. Best not to judge because whatever it is, it is probably the exact opposite of what you think.

Genesis 27:19-20

Jacob said to his father, “I am Esau your firstborn; I have done just as you told me; please arise, sit and eat of my game, that your soul may bless me.”
But Isaac said to his son, “How is it that you have found it so quickly, my son?”And he said, “Because the Lord your God brought it to me.”
Bible Gateway link: Genesis 27:19-20 (NKJV)