不可以,what would you like to drink? 这句中 drink 的宾语是what.
what would you like something to drink 中what 这个成分是多余出来的 you like something 是主语,谓语,宾语, to drink 是定语.所以就没有what 的位置了.Would you like something to drink. 这句就是个完整的句子了.