Ayy, I knew Dr. Geoff Lindsey had made a video about this!
https://www.youtube.com/watch?v=F2X1pKEHIYw
Long story short, yes, this is a very common way to pronounce the clusters /tr/ and /dr/. The reason why is that alveolar /t/ and /d/ tend to get retracted before postalveolar /r/ so that everything's in the same place of articulation; then because these retracted /ṯ/ and /ḏ/ sounds end up sounding like they're sort of "in between" alveolar /t/ and postalveolar /t͡ʃ/, many speakers will end up hearing them as /t͡ʃ/ and /d͡ʒ/.