No way to know. In all likelihood, not. eBay has a bad software reputation. The majority is pirated junkware or malware infected knockoffs. But at this late stage, Elements 6 isn't of any use to anyone anymore. Most machines can't run it much less install it.
Can I ask why you're using obsolete OS and software? You realize MS quit supporting XP a long time ago. It gets no security updates and it's a full 5 versions behind Win11. You might want to consider upgrading to a newer computer and get PS Elements 2022.