The simplest way to do this would be to arrange for a special resolution by-law giving you permission to swap car spaces, allowing the owners corp to use your car space for the perpetuity of the agreement. However, this is not a like for like (or you wouldn’t be asking for it) so you might have to offer a sweetener on the deal. I assume there are other people who park on the same level as you and face similar access issues – why would they not jump up and demand the same privilege?
The easiest thing is to offer money and you have to work out how much it’s worth you swapping spaces – and my guess is it would also have to be a figure that deterred your ‘me too’ neighbours from blocking the transfer. Oh, and you’d have to pay for the by-law too.