It is certainly true that all 10 commandments as enunciated in Ex 20, existed well before Sinai - see the appendix below. Some of the Ceremonial and sacrificial laws also existed as correctly evidenced by the OP.
However, and this is the point of Paul's statement about the "430 years later" -
- before Sinai, the laws were implicit
- after Sinai, the law was explicit and codified
Thus, Paul's statement in Gal 3:17 about the law being given (ie, explicitly) remains correct. before Sinai, the law was not explicit and no written text was available; after Sinai, there was!
APPENDIX - 10 Commandments before Sinai
Commandment #1 – Worship only YHWH:
- Gen 22:5, 24:26, 48, 52 all describe worship of the true God of heaven, YHWH.
- Gen 35:1-4 – Jacob instructs his whole household to eliminate all foreign gods
Commandment #2 – Idolatry prohibited
- Gen 31:32-35 – Jacob clearly understood that idolatry was forbidden.
- Gen 35:1-4 – Jacob instructs his whole household to eliminate all foreign gods
Commandment #3 –Cursing and taking the name of the LORD in vain prohibited
- Job 1:5 – When these celebrations ended—sometimes after several days—Job would purify his children. He would get up early in the morning and offer a burnt offering for each of them. For Job said to himself, “Perhaps my children have sinned and have cursed God in their hearts.” This was Job’s regular practice.
Commandment #4 – Sabbath worship
- Gen 2:1-3 – Thus the heavens and the earth were completed in all their vast array. And by the seventh day God had finished the work He had been doing; so on that day He rested from all His work. Then God blessed the seventh day and sanctified it, because on that day He rested from all the work of creation that He had accomplished.
- Ex 5:5 - And Pharaoh said, “Behold, the people of the land are now many, and you make them rest [שָׁבַת shabath] from their burdens!”
- Ex 16 also records the incident with manna and that collecting manna on the seventh-day Sabbath was forbidden
Commandment #5 – Respect for parents, elders and authority
- Gen 28:6, 7 tells of the story of Jacob following his mother’s advice. Respect for parents is built into the very fabric of the patriarchal stories in Genesis.
Commandment #6 – Sanctity of Human life
- Gen 4:8-12, 15 records Cain’s punishment for the sin of murder
- Gen 4:23, 24 – Lamech realizes that he has murdered someone and will suffer consequences
- Gen 9:5, 6 records that murder was prohibited under the ancient Noahide covenant
Commandment #7 – Adultery prohibited
- Gen 12:10-20, 20:1-17, 26:6-11 all record “adultery narratives” in which the patriarch is (correctly) chided for almost tricking a pagan king into committing adultery
- Gen 19 records the appalling events involving attempted pack-rape of the two angels
- Gen 39:7-9 – Joseph calls Potiphar’s wife proposal “a great evil and sin against God”.
- Gen 49:4 – Reuben is scalded for his sin of incest
- Gen 34 – the story of Dinah records a heinous incident involving her defilement (plus murder and lying)
Commandment #8 – Stealing prohibited and respect for property
- Gen 30:33 – Laban and Jacob discuss the problem of stealing of wages and property
- Gen 31:32-35 – Laban is angry about the sin of stealing the household gods
- Gen 44:9 – Joseph’s brother accused of stealing his divination cup.
Commandment #9 – Lying prohibited; insistence of honesty and integrity
- Gen 4 – the story of Cain being punished, among other things for not being honest with Abel and God in his statements
- Gen 12:10-20, 20:1-17, 26:6-11 all record “adultery narratives” in which the patriarch is (correctly) chided for lying to a pagan king about their marital status
- In the story of Jacob, he is pejoratively called Jacob = “deceiver”, Gen 27:36.
- Gen 37:31-33 – Jacob rebuked for lying and deception
Commandment #10 – Coveting prohibited
- Gen 3:6 – the woman is tricked by the serpent using the sin of covetousness
- Job 31:9, 10 – Job says he is innocent of coveting his Neighbour’s wife.