What you need are those individual wheel car jacks. Each one is a wheeled trolley jack which is placed by each wheel . As the jack is pumped up rollers move in and lift the wheel off the ground . Once all wheels are free the vehicle can be spun round and placed in an impossibly tight space .
It does take me back to the days when I did have parking problems to deal with and for a while was unfortunate to be in charge of a working pier.
Excuses included
"It's ok I have permission from head office". I took great pleasure in my reply "Sorry don't remember giving you permission, I am head office"
"I know your directors personally." "Aye right so just go away" [or words to that effect]
Inevitably there was also "Do you know who I am? I am Lady C. and demand we get a personal tour immediately. I do not care if you are having lunch"
"You may indeed moor your yacht alongside the pier but I must point out that the puffer carrying coal will be unloading straight over your deck."
That is just a small sample.