What do you mean it is possible!! Its already there..
Zolfighar and more importantly Dezful are both Hyper-sonic with respective ranges of 700 and 1000 kms.. Old Fateh-110 missiles had a speed of Mach 5 (1.5 km/s) but as it is visible from aerodynamics of Zolfighar and especially Dezul missile, they have much higher speeds.. You could also see this on guidance kit shapes and expendable nose material..
I think Dezful and Zolfighar did already surpassed Iskander-M missile in almost every aspect (range, warhead, speed, detachable warhead, etc)... so if Russia can make an Iskander missile a Kinzhal hyper-sonic missile... Iran already has the vehicle..
Here lies more detailed analysis:
https://www.mashreghnews.ir/news/936136/10-ویژگی-مهم-دزفول-از-بالک-تا-کلاهک-موشک-های-نقطه-زن-ایرانی