How to decrypt an RSA ciphertext given an oracle providing the lower 8 bits of decryptions?
So this feels like a homework question, as such I"m not going to give you the full answer, but yes, yes you can.  https://en.wikipedia.org/wiki/Homomorphic_encryption#Unpadded_RSA
Is the best starting point I can give without giving away the barn, but essentially rsa is homomorphic, and you can exploit that and repeated calls to the oracle to do what you want.