Can I use Bridger if I use a distributor like CD Baby, Distrokid, Tunecore etc?

Yes, you can! 

The distributor, gets your music it out there (puts your music and metadata on the different streaming platforms) and is collecting for you, the master rights (linked to the recording).

Here in Bridger we collect your copyright (linked to the composition), mechanical and performance from online streaming platforms.

NOTE :
Some distributors, may offer the option of copyright collection through publishing admin. PLease let us know if you have already signed up with any publishing admin.