The following information is regarding TuneCore's Publishing Administration service
Yes, ONLY if you have OBTAINED the proper license for your use. This can include a mechanical license or a sample license and in most instances will require you to contact the original publisher, or copyright holder, to be granted use of the copyrighted work. Please see below for the different types of licenses.
Mechanical License : Needs to be requested when you are covering a work or re-recording and distributing someone else’s copyright.
Sample License : Needs to be requested from the master owner and copyright holder/publisher of particular composition you would like to sample
In order for you to get a mechanical license you just have to visit the following attached link and from there you can go in the public search and see who controls the composition.
If the song is there, you will need to create a Song-File account to request the mechanical license.
If the song is NOT there you should search the online database listings from ASCAP, BMI, or SESAC to see who to contact in order to request a license