To clarify, as i understand, the fusebox is ancient, it has no spare ways, it is also built into a small custom made cabinet in the middle of a room, with no spare space, in which used to be a garage. The tails would need uprating and it only has a 60 amp main fuse. To run a cable to a ev wall box, it would need to run along the skirting to outside as its a solid floors. Without a major revamp, and disruption, i just can’t see it happening.
Does your CU look like this (rewireable fuses)
Does your DNO cutout looklike this (the cutout is the back thing on the left)
If your fuse box is like the top picture or similar that uses rewirable or cartridge fuses, you are afforded little to no safety in the event of a fault. It is in your own interest of safety to at least try to have a standalone RCD fitted. At the very least if you have rewirable fuses you should be looking at fitting swopable plug in MCB’s available 2nd hand to afford at least overload protection.
Back on to topic of having a EVCP (Home charger) fitted – There is a possibility to split the meter tails (small black box to right of bottom picture) and have a dedicated standalone consumer united fitted to allow you to have an EVCP fitted. You would likely need minor works carried out by the DNO, at least to upgrade the cutout to 100A, which would be FOC. Your main bonding /(earthing) would likely need upgrading to to 10mm, which would be chargeable along with the fittedment of a dedicated consumer unit mention above. Chargeable works would likely work out cheaper if you had a local electrician carry out the works and having a standard EVCP installation through Motability, than paying for a non standard installation with Motability. Thats the basics anyway.
I’m a qualified spark for over 40yrs and qualified EVCP installer.