no sir, a case cannot be established that Christ satisfied some other law than the Mosaic law unless you completely ignore the Scriptures or completely redefine terms and do it contrary to the immediate context they are found.
For example,
Mt. 5:17 ¶
Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfil.
18 For verily I say unto you, Till heaven and earth pass, one jot or one tittle shall in no wise pass from the law, till all be fulfilled.
19 Whosoever therefore shall break one of these least commandments, and shall teach men so, he shall be called the least in the kingdom of heaven: but whosoever shall do and teach them, the same shall be called great in the kingdom of heaven.
Verse 17 defines the law he has come to fulfill. The phrase "the law and the prophets" were well know descriptives for the first five books of the Old Testament and the prophets who wrote the rest of the Old Testament scriptuers and expounded the Law of Moses.
Verses 21-32 explicitly include the Ten Comandments as part of the law he can to fulfil.
For example,
Ga 4:4 But when the fulness of the time was come, God sent forth his Son, made of a woman,
made under the law,
Ga 4:5 To redeem them that were
under the law, that we might receive the adoption of sons.
The law in question is first introduced in Galatians 2:10 as the law WRITTEN IN THE BOOK which when violated brings a CURSE that is also written in the book:
Gal. 2:10 For as many as are of the works of the law are under the curse: for it is written, Cursed is every one that continueth not in all things which are
written in the book of the law to do them.
11 But that no man is justified by the law in the sight of God, it is evident: for, The just shall live by faith.
12 And the law is not of faith: but, The man that doeth them shall live in them.
13 Christ hath redeemed us from
the curse of the law, being made
a curse for us: for
it is written, Cursed is every one that hangeth on a tree:
Galatians 5:17-24 demands this same law was given 430 years after Abraham and it is the Mosaic Law.
The above scriptures prove Christ was born under the Mosaic law in order to redeem us from the curse of that law and that Christ became a curse under that law. It was that law that Jesus was born under and came to fulfil.
This is the just the tip of the iceberg to prove your position is completely foreign to the Scriptures.
You assume that Christ came to "satisfy" such standards. I suggest that the Scriptures do not really support this position. A case can be made that Jesus did come to be obedient to any law - even though he did not sin - but rather to be obedient to the covenantal vocation of Israel.
Even if Jesus did not "break" the Law of Moses (I think He did, but that's another story), this does not mean that Jesus' keeping of the Law somehow is the basis for our justification. I suggest that you are assuming the truth of certain reformed ideas that, when carefully examined, have some major problems.