I don't think it would be reasonable to believe that.
In this case it is probably irrelevant for almost everyone, in that the people ordering a Vita game are likely to have a Vita. However, I can see similar situations where it could be believable. Several years back I got an Amazon gift cert code for my birthday. Had absolutely no indication who it was from. Not even sure it said Happy Birthday on it. I didn't find out until a month later it was from my sister, who had presumably missed the part where it mentions to include "to" and "from" on the gift note.