Will my friend find it easier to forgive me if I leave them alone for a few months?

Quite vague, but I personally think I would appreciate a friend coming back and solving any issues with mutual effort together so we could go back to fun times and close support as soon as possible

Forgiveness does come easy with time but friends never leave each other alone. Stay in touch with them. If not daily, drop a message once a month to check on them. Make them know You Still Care About Them. They will eventually find themselves to forgive their friend. Also, for them to forgive you, remember, you need to forgive yourself first. Own up to your mistake, make a vow to never do it again, and forgive yourself. Don't be too harsh on yourself or your friend. They will come around eventually if you bug them once in a while. Don't lose hope and don't lose your friend as well and you'll be alright!