You can submit a DMCA takedown request for them copying any of your images or text. I have successfully done this on Google Play.
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.