No, and that's where/why the whole "service provider" thing can get interesting. In this case Apple just hands your DMCA notice to the alleged infringer.
In effect, you'd be triggering the same sequence that led to youtube-dl being blocked on GitHub for a while. Surely, GitHub = Microsoft didn't build it, but they still had to block access when the RIAA sent a DMCA.
In the youtube-dl case, the DMCA notice was later found to be fraudulent and thus the access was restored. But if the infringing app re-uses images verbatim, that won't happen so it stays offline.