Owning your own home

I have parked in a neighbours space for ten years - through two different neighbours being resident in the flat associated with the parking space. Is there any way I can convert this established use into ownership of the space (of some kind) as I strongly dislike the neighbour?

Did you park in the space with the express agreement of the neighbour? If so, definitely no.

Although it was a matter for debate whether English law recognised an easement to park (i.e. a right to park on someone else's land) it's now definitely established that such an easement can exist. However, a tenant cannot acquire a prescriptive easement against a co-tenant of the same landlord - Bright v Walker (1834) 1 Cr.M. & R. 211 and Kilgour v Gaddes [1904] 1 K.B. 467, which are binding authorities in English law notwithstanding Lord Millett's persuasive decision in the Hong Kong case of China Field Ltd v Appeal Tribunal (Buildings) [2009] 5 HKC 231.

In theory you could acquire title to the land by adverse possession. However, parking on land will not normally amount to adverse possession as it is equivocal and could equally be explicable as the exercise of an easement of parking. Further, a claim in adverse possession in relation to registered land (and I'm assuming the landlord's title is registered) can only succeed if one of the three conditions in paragraph 5 of Schedule 6 to the Land Registration Act 2002 is satisfied (assuming the landlord invokes the right to require paragraph 5 to be applied pursuant to the right to do so in paragraph 3(1) which they almost certainly would) and none would appear to apply here. The only exception would be if you could prove 12 years' adverse possession prior to 13th October 2003 (the date when the Land Registration Act 2002 came into force) which clearly you couldn't.

You could try and argument that the principle of encroachment applies, a common law doctrine similar to that of adverse possession but which applies to tenants/lessees and which is considerably less well-established than adverse possession due to the dearth of authorities. Further, the interaction between the doctrine of encroachment and the Land Registration Act 2002 is far from clear (there's a very interesting (for geeky lawyers) paper on it here ). In my view the delightfully-named case of Smirk v Lyndale Developments [1975] 1 WLR 317 does support the proposition that a tenant can obtain good title to land demised to a co-tenant for the term of their lease under the doctrine of encroachment, but the position is far from clear.

tl;dr - probably not, and definitely not if you parked there with their consent. Establishing that you have would involve highly speculative litigation involving throwing large amounts of money at lawyers. Contrary to popular belief, this is however always A Good Thing.