There are two accounts to compere:
1. Jacob's Wrestling Partner, Gen 32:22-31
- In V28 Jacob is described as wrestling with God
- In V30 Jacob says that he has seen God "face to face"
- In V29 Jacob asks for and receives a blessing from God who changes his name from Jacob to Israel.
2. Manoah & Wife's "Angel of the LORD", Judges 13
- In V2, 13, 15, 16, 17, 18, 21, etc, we read, "Angel of the LORD"
- In V6, 8, we read, "Man of God"
- In V9, we read, "Angel of God"
- In V22, the same person is described as "God".
Thus, it appears to be the same person in both cases. "Angel of the LORD" is sometimes the LORD Himself as per Gen 16:7-13, 22:11-17, 32:24-30, 48:16, Ex 3:2-6, 32:34, Num 22:22-35, Josh 5:13-15, Judg 2:1-4, 6:11-23, 13:3-23, Isa 63:9, Dan 3:25, 28, Hos 12:4, 5, Zech 3:1-7, Mal 3:1, Rev 8:3-5, 10:1-10, 18:1, 20:1-4.
A closely related phrase, “Angel of God” who is clearly God as in Gen 6:13, 8:15, 9:8, 17, 15:13, 17:3, 4, 21:12, 16-21, 35:1, 10, Ex 4:3-8, 6:2, 23:20, 21, Deut 1:6, 1 Kings 12:22.