Which version of Reader are you using?
I have v 9.4.2
This is a known issue between the Acrobat 9.4.2 update and HP printers. There are several solutions in the following TechNote:
We apologize for the inconvenience.
I am having XP Pro and can without any hassle print pdf's from a standard user account.
What error are you observing on your machine???
Are you able to print any other file (other than a pdf) from a standard user account?