No, and please don't encourage people to use bad crypto.
If you build an encryption (or authenticated encryption or whatever) function E(K, M) that deterministically turns a key K and a plaintext message M, you will leak information. Specifically, if you send the same message twice, an eavesdropper can tell.
If you use a nonce-misuse resistant function E(K, M, N) where N is a nonce, then, if the nonces are unique, you don't leak anything but the lengths of the messages and, if it's maximally nonce-misuse-resistant, then, with repeated nonces, all you leak is the fact that repeated messages are repeated.
But if your non-misuse-resistant cipher function is streaming, then you unavoidably leak repeated prefixes when nonces are misused.
The strongest mode out there is AEZ (assuming it's as strong as the authors claim), and it still lets you specify a nonce as part of the associated data.