The phrase "am at hand" is typically used to indicate that someone or something is nearby or close by. Antonyms for this term might include words like "far", "distant", "remote", or "removed". These words suggest a sense of distance or separation between the speaker and the person, place, or thing in question. Other possible antonyms could include words like "absent", "missing", "absentee", or "gone". These words might suggest that the person or thing is not present or not yet arrived, rather than being close at hand. Ultimately, the choice of antonym depends on the context in which the phrase is used and the specific meaning that the speaker wishes to convey.