Not through the terms lookup functionality. You can think of that as merely grabbing the list of terms to filter from a document, rather than from the query body supplied as part of the request.
But you can add a sort element to your query which does the sorting:
GET /users/user/_search
{
"query":{
"terms":{
"id":{
"index":"newsfeed",
"type":"feed",
"id":"1",
"path":"likers.id"
}
}
},
"sort" : [
{ "likers.id" : {"order" : "asc"}},
"_score"
],
}
Note that unless that first document is using Nested Documents (you can also read more here) your relationships in the document may not be preserved like you think they are.