No, it doesn't.

The definition of a "confirmation" is to be in a block on "the blockchain".  If it is in a block on "the blockchain", then you have a confirmation (although your wallet might not be showing that confirmation if it isn't properly synchronized).

Note, that blockchain.info is not "the blockchain".  blockchain.info is just a website someone created that has a lot of useful bitcoin related information.  They decided to call their website blockchain.info.  It is a very useful website, and many people like and rely on it, but there is nothing "official" about it.  If you see a transaction at blockchain.info, it is not necessarily on "the blockchain", since blockchain.info also lists all the transactions that are in the memory pool (and therefore not yet on the blockchain.