You can simply log back on (unlock) using the password (provided cache/cookies still intact)
because you're not actually logging in to any server, you're just unlocking your wallet on client side
then after you unlocked the wallet, on the top right corner, click the first icon
it will popup and show all your account info backup such as your seed, privkey and others
make a copy of this, copy paste text or keep a screenshot image for your backup record
other than that way, I think there is no way you can access your wallet back