Yes. The commandments are explicitly given to those that experienced the Exodus:
“I am the Lord your God, who brought you out of Egypt, out of the land of slavery.
“You shall have no other gods before me… - Ex 20
"Then the Lord said [to Moses]: “I am making a covenant with you. Before all your people I will do wonders never before done in any nation in all the world. The people you live among will see how awesome is the work that I, the Lord, will do for you. Obey what I command you today. - Ex 34
“The Lord our God made a covenant with us at Horeb. It was not with our ancestors that the Lord made this covenant, but with us, with all of us who are alive here today. The Lord spoke to you face to face out of the fire on the mountain. …And he said: “I am the Lord your God, who brought you out of Egypt, out of the land of slavery.”" - Deut 5
So, the Law was not given to us, and so does not apply to us. Seems rather clear.
Specifically, the Sabbath:
“Observe the Sabbath day by keeping it holy, as the Lord your God has commanded you. [Keeping it holy is define as:] Six days you shall labor and do all your work, but the seventh day is a sabbath to the Lord your God. On it you shall not do any work, neither you, nor your son or daughter, nor your male or female servant, nor your ox, your donkey or any of your animals, nor any foreigner residing in your towns, so that your male and female servants may rest, as you do. Remember that you were slaves in Egypt and that the Lord your God brought you out of there with a mighty hand and an outstretched arm. Therefore the Lord your God has commanded you to observe the Sabbath day.” - Deut 5
Not the Egyptians. Not the Babylonians. Not the Romans. Just the Israelites.