The Jordanian Dinar (1 JD = $1.41 / 1,22€) remains as the 4th highest valued currency despite current events (such as the war), although it’s pegged to the USD on maintaining stability. While it’s expected for most petro-states (like Oman, Bahrain or Kuwait) to have higher exchange rates because of their export (crude oil) but that’s not the case for Jordan.
If it’s pegged to the USD it will remain there until their central bank says it won’t. As long as the Jordanian central bank has enough USD in reserve it won’t have any problems keeping it pegged.
Having a high or low valued currency does not matter at all (until you run out of space to put zeros on the bill). Changes in the currency value matter a lot.
Having oil or not makes no difference to if you should have a high or low valued currency either.
They peg their currency to the USD, because of their economy’s reliance on petrodollar states. They’re a small economy, highly reliant on foreign trade and foreign investment, so setting the rate facilitates stable trade and investor confidence. The IMF sends them a bit of cash to help them balance their books, but mostly it’s just high levels of reserves and policy.
https://www.ia-forum.org/Content/ViewInternal_Document.cfm?contenttype_id=1&ContentID=9089
