4-5k USD will be around 20k AED!
Answer to your question is yes! Just go to the search part of this website and go to Advanced Search and you'll find many in that price and year range.
Shipping to Kazakhstan! Not sure, but there are many freight forwarders that have posted in the forums (just search) and you can ask them.
How does one ship to Kazakhstan anyway? There's no port that I know of. Does it go through Iran or Ukraine by road? Seems far. Maybe China or Siberia side? Seems far as well.