Your best bets are to play Online/correspondence, maybe 14 days per move, and both of you turn off auto claim on time in the online settings.
protracted game memory?
If your friend is also a member of the site - yes.
It's called Online Chess (different from Live Chess) - here are some useful FAQs:
What do I need to know to get started with Online Chess?
How does Turn-based Chess work?
Hope that helps!
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I just joined chess.com. Is it possible to play a game with a friend over a long time and keep the moves stored while we are away being busy with other things?