yes/no. it is a single recording (song). Not sure it has to be a ‘single’. as maybe some bands/people may not put out a single.
I was just looking it up.
record goes to all involved (writer/produced/engineer)
Song of the year goes to the song writer.
edit.
maybe it should be pronounced like recording of the year.
close, they also have song of the year which is just for the songwriter. So record is the total sum of the recording with engineer and producer (according to the Grammy website).