Can the inverse of a micelle be formed with non-polar solvents?
Yes, they are aptly enough called inverse micelles, eg such as formed by the detergent AOT. While you retain the hydrophobic/philic balance typical of a water-soluble detergent, wherein you have a long hydrophobic tail and hydrophilic headgroup, you generally have to alter the headgroup area (making it smaller relative to the tails) to favor inverted phases of this type. In addition if charged the headgroups will strongly repel, requiring a cosolvent or some counterions to reduce such interactions.