Yes, and it's funny you should start a thread like this.  One of my first wallets when I got into bitcoin was a blockchain.info one--this was before I learned not to use web wallets.  I was a complete noob at the time and I wrote down the password and some other thing they gave me, and I lost the paper in the notebook in which I'd written it and I don't have a clue how to regain access to that wallet.

Luckily I think I only had about 10k sats in the wallet, so it's not a big deal but I did try to log into the wallet a few times in the past year but couldn't.  Oh well.  And the only reason I had that dust in there was because at the time I was using blockchain.info the network fee was higher than 10k sats or whatever I had in there.  No biggie, thank goodness.