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Not when it's lost, no. Only way the recovery options work is if someone has copied your key, changed it and then you can prove to your recovery account that you're the real owner with the old key and some other info like signup email or get in contact with them in ways you've contacted them before so he can reset it and give you the new key.

When it's lost then it's lost for good. Better be careful with your active key now if you're not planning on moving onto a new account.

Well it seems I have only that option left. Making another account. Because with Active Key I can't login.

Fortunately I had already logged in to Ecency Android App that is how I am writing now.