If I wanted to play this with a partner who was not physically with me, would that be possible?
Absolutely!
As long as you both have access to the journaling prompts, you could play by post (eg mailing letters), email, or Discord. I'd suggest getting together on a video/voice call when setting up your game together, as that will be the easiest way of making sure you both have the same expectations. :)
Other than, it is entirely possible to play this game with people in different locations. :)