Is it possible that mobile telephone calls are stored without our knowledge?
It depends what you mean, phone companies, both landline and mobile, store records which contain the number dialled, the originating number and the duration; these are primarily for billing purposes but can be looked at by the Police with the correct authorisation. But the actual conversation itself? Not as a matter of course; it would generate far too much data to realistically store, even using a very high compression algorithm. Authorised wire-taps are a different story but are thankfully still rare.