I would guess no, but I thought I better make sure.
Not really, no. Being a christian holiday you will find a few shops (owned by christian people) closed but the majority of the shops will be open and the only time I have ever seen a tourist destination closed is during Ramadan and Eid and then only for short periods of time.
I guess it depends on where you are in Jordan but short answer is... no. :) almost 10 years ago