No, but you can find these:
Jeremiah 31:33-34
33 But this is the covenant that I will make with the house of Israel after those days, says the LORD: I will put My law in their minds, and write it on their hearts; and I will be their God, and they shall be My people. 34 No more shall every man teach his neighbor, and every man his brother, saying, 'Know the LORD,' for they all shall know Me, from the least of them to the greatest of them, says the LORD. For I will forgive their iniquity, and their sin I will remember no more."
NKJV
Romans 2:14-16
14 for when Gentiles, who do not have the law, by nature do the things in the law, these, although not having the law, are a law to themselves, 15 who show the work of the law written in their hearts, their conscience also bearing witness, and between themselves their thoughts accusing or else excusing them 16 in the day when God will judge the secrets of men by Jesus Christ, according to my gospel.
NKJV
The 1 John Scripture you quoted would remind his audience of Jeremiah 31.