No. What you're saying is what the Apostle stated elsewhere, that it is impossible for God to lie. Here the Apostle is saying God cannot be other than He is.In the context of the passage (2 Timothy 1:13-2:13), when Paul expounds on his "therefore" in verse 10 regarding the believer's need to endure, which requires faithfulness to the Lord, and reference to Numbers 23:19 which refers to God's faithfulness to His promised blessing to Israel (cursing them per Balak would mean God lied to Israel regarding His promise); impossibility to do Phiilippians 2:5-8 and Hebrews 2:15 which IS the Lord's choice of setting aside His divine nature, your "shed His divinity, which is impossible," strays way outside the context. God won't deny what He already promised, not that it is impossible to set aside His divine nature.
"He abideth (stays, remains, faithful), because He cannot do otherwise."