Can character names have apostrophes in them?
Pretty sure they cannot.
No.
https://wiki.guildwars2.com/wiki/Character_creation#Name
The last step is to choose a name for your character, which can include from 3 to 19 characters. Names must be composed entirely of letters and (optional) spaces; names always use title case (i.e. the first letter of each word is capitalized) and must begin with a letter.
For non-space characters, the English versions of the game allow the standard 26 letters of the alphabet along with accented letters such as à and è. All client versions on all servers also allow ÄÖÜ Umlauts in name while a German keyboard layout is used.
The Burninator
No. They can have spaces, and the individual letters can have accents if you know how to type those, but no symbols can be used on their own. The first letter after a space will be auto-capitalized.
Also you likely know this, but you have a maximum of 19 characters including spaces per name.
“Catapostrophes” is an example of a character name using “apostrophes”.
(sorry, I couldn’t resist)
John Smith: “you should kill monsters, because killing monsters is awesome.”