I love those Canary Island date palms too. Your potential spot sounds a little crowded while the plant is young and its fronds are low enough to rub on the wall, but they can be trimmed to be shorter than that if you like. Once it's tall enough that its head of foliage is taller than the wall you should have enough room, though they do get chubby so if you've got a larger spot for it that might be the better location. A pygmy date palm might be a good alternative, or even a Mediterranean fan palm?

Let us know what you do and how it works out.
Take care,
Grant

Canary are huge and the fronds will take up a span of 25 to 30 feet. Later the trunk alone will take up more than 4 feet.
Arthur the date palm guy