Attic Conversion with Low Ceilings?

Hi folks,

I am in the process of buying a little 1930s-era bungalow in Edmonton that has a big unfinished attic (just eyeballing it, I'd say it's roughly 650-700 sqft in terms of floor space). I'd love to convert it into a play space for my two young kids, but there is some disagreement about whether this would be feasible/possible. One contractor assured me that it wouldn't be possible, since the apex of the rafter ceiling is only something like 6' and change (maybe closer to 6.5'). But weirdly enough, my home inspector who is a very knowledgeable guy seemed dead sure that it would work despite the low ceilings. I know it's impossible to know without seeing it with your own eyes, but does anyone have any experience with trying something like this with the low ceiling height? Some more info off the top of my head:

- The abovementioned floor space with knee walls

- Permanent stairs are already there

- Floor joists are 2'x6'

- Windows on both walls

Thanks in advance.