"Which He commanded our fathers, That they should make them known to their children;” “Showing to the generation to come the praises of the Lord, And His strength, and His wonderful works that He hath done.” “That the generation to come might know them, Even the children which should be born; Who should arise and declare them to their children: That they might set their hope in God.” MH 448.1"
"We will not hide them from their children, shewing to the generation to come the praises of the Lord, and his strength, and his wonderful works that he hath done."
EGW directly quotes Psalm 78:4 and references the surrounding verses.
"“The blessing of the Lord, it maketh rich, And He addeth no sorrow with it.” Proverbs 22:17-21 ; Psalm 78:5, 4, 6, 7 ; Proverbs 10:22 . MH 448.2"
"Bow down thine ear, and hear the words of the wise, and apply thine heart unto my knowledge. For it is a pleasant thing if thou keep them within thee; they shall withal be fitted in thy lips. That thy trust may be in the Lord, I have made known to thee this day, even to thee. Have not I written to thee excellent things in counsels and knowledge, That I might make thee know the certainty of the words of truth; that thou mightest answer the words of truth to them that send unto thee?"
Ellen White directly references Proverbs 22:17-21 in this passage.
"The blessing of the Lord, it maketh rich, and he addeth no sorrow with it."
Ellen White directly references Proverbs 10:22 in this passage.
"Christ imparted only that knowledge which could be utilized. His instruction of the people was confined to the needs of their own condition in practical life. The curiosity that led them to come to Him with prying questions, He did not gratify. All such questionings He made the occasion for solemn, earnest, vital appeals. To those who were so eager to pluck from the tree of knowledge, He offered the fruit of the tree of life. They found every avenue closed except the way that leads to God. Every fountain was sealed save the fountain of eternal life. MH 448.4"
"Labour not for the meat which perisheth, but for that meat which endureth unto everlasting life, which the Son of man shall give unto you: for him hath God the Father sealed."
While not a direct quote, the EGW passage's emphasis on the 'tree of life' and 'fountain of eternal life' as alternatives to worldly knowledge shares a thematic connection with the idea of seeking 'meat which endureth unto everlasting life' in John 6:27. The connection is less direct than an explicit allusion, but the underlying principle of prioritizing spiritual nourishment is present.