The following information is regarding TuneCore's Publishing Administration service
Yes, provided that you create a new arrangement of a public domain work. If a song's lyrics and music were published before January 1, 1923 then the song is considered public domain. In other words, the copyright for that song has expired. If you have created a new arrangement of a work in the public domain, you can add that to your Composition Manager and receive royalties as the arranger. However, it is important to ensure that the work you are arranging qualifies as a public domain work.
For example, if you have created an arrangement of the traditional Christmas carol “Deck The Halls”, you are able to register this song as the arranger but not the composer/author. It is important to note also that not all income sources will pay 100% of royalties due as an arranger. For example, BMI will only pay 20% of the full performance royalty for arrangements of public domain works.