No. Run your own DoH server, point your DoH client to your own DoH server, and your DoH server can then provide any responses you want. (And it in turn can use DoH or do standard recursive resolution.)
End-to-end encryption means that malicious parties can't MITM your traffic or otherwise make you talk to the wrong destination server. That doesn't prevent you from intentionally running your own local servers and pointing clients to them.
If you have a client device on your network that you don't trust and can't change the configuration of, it has far more secure methods for protecting itself from you than just using DoH.