This isn't "hiding" the contact, but I would suggest considering leveraging HubSpot tasks. Basically when a contact says they want to continue your conversation in XYZ month, you could create a task for yourself to follow up with them at the time specified. You can set up the task to send you notifications to remind you as you get closer to the 'due date', and you'll know that if you're not being prompted by the task/reminders that you don't need to take any action on these contacts at the moment.
Hope this helps!
Whitney
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