No. He suffered temptation in His humanity. and let us remember He was not tempted inevery singly little tiny sin, but in the three areas that all sin are part of
1. Lust of the flesh
2. Lust of the eyes
3. Pride of life
The Son of God and the Son of Man is one Christ and cannot be divided into 2 Persons. This has been orthodoxy since the early centuries as stated in the Athanasian Creed which is squarely based upon scripture. As the early church did combat with heretics, they were forced to put doctrine into creeds for clearly stating the biblical faith.
The Athanasian Creed according to scripture:
"Although He is God and man, He is not two, but one Christ: one, however, not by the conversion of the divinity into flesh, but by the assumption of humanity into God; one altogether, not by confusion of substance, but by unity of person. For as the rational soul and flesh is one man, so God and man is one Christ,"
Based upon these scriptures:
"But not as the trespass, so also is the free gift. For if by the trespass of the one the many died, much more did the grace of God, and the gift by the grace of the one man, Jesus Christ, abound unto the many...For if, by the trespass of the one, death reigned through the one; much more shall they that receive the abundance of grace and of the gift of righteousness reign in life through the one, even Jesus Christ." (Rom 5:15, 17 ASV)
"yet to us there is one God, the Father, of whom are all things, and we unto him; and one Lord, Jesus Christ, through whom are all things, and we through him." (1Cor 8:6 ASV)
"one Lord, one faith, one baptism," (Eph 4:5 ASV)
"Who is the liar but he that denieth that Jesus is the Christ? This is the antichrist, even he that denieth the Father and the Son." (1John 2:22 ASV)
"Behold, the virgin shall be with child, and shall bring forth a son, And they shall call his name Immanuel; which is, being interpreted, God with us." (Matt 1:23 ASV)
"In the beginning the Word already was. The Word was in God’s presence, and what God was, the Word was." (John 1:1 REB) *Switched to the REB because of the nuanced translation discussed in the NET Bible TN.
"And the Word became flesh, and dwelt among us (and we beheld his glory, glory as of the only begotten from the Father), full of grace and truth." (John 1:14 ASV)
"Have this mind in you, which was also in Christ Jesus: who, existing in the form of God, counted not the being on an equality with God a thing to be grasped, but emptied himself, taking the form of a servant, being made in the likeness of men; and being found in fashion as a man, he humbled himself, becoming obedient even unto death, yea, the death of the cross." (Phil 2:5-8 ASV)
"Since then the children are sharers in flesh and blood, he also himself in like manner partook of the same; that through death he might bring to nought him that had the power of death, that is, the devil; and might deliver all them who through fear of death were all their lifetime subject to bondage. For verily not to angels doth he give help, but he giveth help to the seed of Abraham. Wherefore it behooved him in all things to be made like unto his brethren, that he might become a merciful and faithful high priest in things pertaining to God, to make propitiation for the sins of the people." (Heb 2:14-17 ASV)
steadfastlutherans.org
That Lutheran web site has the ESV linked to the verses so they pop up as you place the cursor over them.