No, it doesn't. You are misinterpreting a Bible verse.
Jhn 20:19 Then the same day at evening, being the first [day] of the week, when the doors were shut where the disciples were assembled for fear of the Jews, came Jesus and stood in the midst, and saith unto them, Peace [be] unto you."
This was not a "worship" service. They were hiding out for fear of the Jews.
Act 20:7 "And upon the first [day] of the week, when the disciples came together to break bread, Paul preached unto them, ready to depart on the morrow; and continued his speech until midnight."
This was Saturday night. The Hebrew day begins and ends at sunset, so "the first day of the week" actually began at sunset Saturday, and he preached until midnight Saturday. Also, the disciples didn't just break bread once a week, they did it several times a week, which gives no special significance to the first day. This passage does not in any way revoke God's 4th commandment.
If you're looking for NT instruction as to which day is the "Lord's Day", take a look at these:
"Luk 4:16 And he [Jesus] came to Nazareth, where he had been brought up: and, as his custom was, he went into the synagogue on the sabbath day, and stood up for to read.
"Rev 1:10 I was in the Spirit on the Lord's day, and heard behind me a great voice, as of a trumpet,"
Which day is the Lord's Day?
"Mar 2:28 Therefore the Son of man is Lord also of the sabbath."
"Luk 6:5 And he said unto them, That the Son of man is Lord also of the sabbath. "
But what about non-Jews?
"Act 13:42 ¶ And when the Jews were gone out of the synagogue, the Gentiles besought that these words might be preached to them the next sabbath. "