Background: The German Army in Norway, with the support of Finland, were very successful in expelling the Soviet forces in the Finnish Petsamo area during the opening movements of Operation Barbarossa. The 2nd phase of the German Forces (29 June 41) was to take the Rybachi Peninsula and move onto Murmansk to stop supplies from flowing in from the UK.
Premise: Instead of having German Army Group North and South be assigned Fliegerdivision and Air Landing Division (glider) units, could those units instead have been given to the German forces in Norway and dropped on the Murmansk airfield:
1) 1st Parachute Regiment & 2nd Battalion Air Landing Assault unit (1st Fliegerdivision)
2) 22nd Air Landing Division (glider) - since reconstituted from 1940 Netherlands campaign
I realize the German Airborne forces & Ju-52/3m fleet had been depleted in the Netherlands assault (157 lost of 450 used) and the Crete assault (170 lost with ~5,000 casualties) but industry was able to make up for those losses in 1940 by delivering 388 a/c and in 1941 delivering 502 more. Each Fliegerdivision was normally assigned ~250 Ju-52/3m's to support their forces.
Defending Forces: 3 line Soviet divisions (14th and 52nd Rifle Divisions & Polyarny Division) and 1 pickup volunteer unit of sailors & marines assigned to stop the ground assault. ~250 Soviet aircraft which were of outdated utility (I-16/I-15bis). Those Soviet divisions were very successful in stopping the German invasion mainly due to their ability to take advantage of very poor German tactical leadership & inexperienced SS troops).
Question: Could the ~20,000 experienced German airborne forces have been able to cause enough havoc in the backfield to cause a loss of Murmansk and a general Southern retreat of the Soviet forces confronting the German land forces in the Petsamo area (the Finnish troops were very successful but later stopped their attacks after direct threats from the US from interfering with US deliveries of Lend-Lease material).
Please note, the 1st six 1941 Artic Convoy's went to Arkhangelsk (1st arrived 31 August) and the 7th-9th went to Murmansk and didn't arrive until 20 December, 11 January, & 12 January. So no real impact on supplies being delivered right away.