I think that most of the thuya burl (sandarac tree) on the market comes from Morocco. It also grows in Algeria and Tunisia, is the national tree of Malta, and also is native to Cartagena, Spain. It is grown as an ornamental, but I couldn't find any reference to Jordan. One thing that is tricky is the various names that are used: sandarac, ghar-ghar, ghar-ghur, gum tree, thyine, and more. I did run across this link for biblical trees that I found interesting: Daily Bible Study - The Trees of The River . This then led me to another possibility - tamarisk.Thuya burl comes from that area but not 100% sure if it’s found in Jordan. Beautiful wood if it does.
Pistachio is a good one that I missed, not widely available but I know that Cookwoods.com has pen blanks available."The highlands of Jordan host forests of oak and pine, as well as pistachio and cinnabar trees. Olive, eucalyptus and cedar trees thrive throughout the highlands and the Jordan Valley. Jordan’s dry climate is especially conducive to shrub trees, which require less water. Species of shrubs can be found throughout all the geographical regions of Jordan." (Google search).