That's an unlikely interpretation indeed.
Yes, these seem to work well.Grant me the power of altering how others perceive me.
Grant me the power of altering where I appear to be to others.
It might be better to go for less literal translations. Maybe something along the lines of:
Da mihi potestatem ut qualiscumque voluero talis aliis videar: "Give me the power to seem to others however I want to."
Da mihi potestatem ut ubicumque voluero ibi esse aliis videar: "Give me the power to seem to others to be wherever I want."