If I were to change the name of a pet using an Enchanted Hypnosis Wand, would I be able to use a space in its new name?
Pretty sure you can, but I'd love to get confirmation on that as well.
As long as the space isn't in front of the pet's name or on the end, then yes, you can use spaces. :) I've used several wands on my pets, and it has always allowed me to use spaces when changing names.