If in the Matrix the characters could do whatever they want, have different clothes, and hair and all the look was different, could they be someone else? Could they have the aspect of an agent, for example? Or another person? If they believe they were someone else could that be possible?
In a word, yes. In the Matrix Comic "Burning Hope" we encounter a character (the eponymous Hope) who is able to present multiple different residual self-images in order to protect herself from attackers.
The level of surprise experienced by her Zionese rescuers would imply that this was not a common ability, but neither was it so rare as to merit immediate discussion.
The images below depict her present RSI as well as her real-world self. Although we never see her "little girl" RSI in the comics, the fact that she was living in an orphanage and sleeping in a cot bed would strongly imply that her change (into her larger form) happened very recently