Is it possible to obey all the commandments of God?

I have heard people say, "Nobody can keep all of God's instructions (Torah)."

Is this true?

No (Deut. 30:11-20).

"Now therefore in the sight of all Israel the congregation of the LORD, and in the audience of our God, keep and seek for all the commandments of the LORD your God: that ye may possess this good land, and leave it for an inheritance for your children after you for ever." (1 Chronicles 28:8) 

"And if ye shall despise my statutes, or if your soul abhor my judgments, so that ye will not do all my commandments, but that ye break my covenant." (Leviticus 26:15)

"O that there were such an heart in them, that they would fear me, and keep all my commandments always, that it might be well with them, and with their children for ever!" (Deuteronomy 5:29)

"Speak unto the children of Israel, and bid them that they make them fringes in the borders of their garments throughout their generations, and that they put upon the fringe of the borders a ribband of blue: And it shall be unto you for a fringe, that ye may look upon it, and remember all the commandments of the LORD, and do them; and that ye seek not after your own heart and your own eyes, after which ye use to go a whoring: That ye may remember, and do all my commandments, and be holy unto your God." (Numbers 15:38-40)  

" And they were both righteous before God, walking in all the commandments and ordinances of the Lord blameless." (Luke 1:6)

"I can do all things through Christ which strengtheneth me." (Philippians 4:13) 

"For this is the love of God, that we keep his commandments: and his commandments are not grievous." (1 John 5:3) 

Messiah (Christ) stated in Matthew 5:17-19, He did not come to destroy the Law of Moses which is the Law of God (1 Kings 2:3).