Swapped accidentally with someone else's.
OP has given two sentences and wants to know if they imply that swapping was done unintentionally.
1.Looks like my shoes got swapped with someone.
2.My shoes got swapped with someone.
Looks like (meaning it appears) in Sentence 1 indicates that the shoes were mistakenly exchanged or interchanged, but the phrase someone should be changed to someone else's.
"The phrase "accidentally swapped" is correct"
Ref. ludwig.guru.
1.The Times.
Potter's research suggested that as many as 19,000 babies are accidentally swapped at birth around the world each year.
2.The New York Times.
During the making of "Mr. and Mrs. Bridge" (1990), for example, Paul Newman accidentally swapped the word "which" for "that".
3.The Guardian.
Mixed Blessings (about two babies accidentally swapped at birth), Coming Home (about servicemen and evacuees returning at the end of the war) and Chocolate!
4.BBC.
In two of these he believes that perhaps the blue and pink were accidentally swapped around.
You can convey that the pair of shoes were unintentionally exchanged or switched in this manner:
1.Looks like my shoes got swapped with someone else's.
2. It appears my shoes were accidentally swapped with someone else's.
3. My shoes were accidentally swapped with someone else's.