Does Ephesians 2:1 Teach "Total Depravity" ?

Ephesians 2:1 reads, "And you hath he quickened, who were DEAD in trespasses and sins."Does Ephesians 2:1 teach the Calvinistic doctrine of "Total Depravity" ?Thayer defines the word "dead" in this verse as - destitute of a life that recognizes and is devoted to God, ... INACTIVE as respects doing right → Not inability, but inactivity !If Ephesians 2:1 means sinners can’t do right, then Romans 6 would mean Christians can’t sin:verse 11 Likewise, reckon ye also yourselves to be dead (same Greek word, #3498) indeed UNTO SINverse 2 How shall we, that are dead to sin, live any longer therein?Ephesians 2:1 says these dead sinners were quickened and Psalms 119:50b says that "thy word hath quickened me." So obviously, sinners aren’t so “dead” they can’t respond to God’s word.The Ephesians were “dead” in sin, not by birth, but for what they did:verse 2 walked according to the course of this worldverse 3 lived in the lusts of our fleshverse 3 indulging the desires of the flesh (NASV)