Yes, you can send your 1.5 mBTC to another wallet without a fee. It might take some time, but should go through eventualy.
There's not really any reason to do that, though. Your wallet doesn't really hold the transactions - they are in the blockchain, which is like a ledger containing all bitcoin transactions ever made. Your wallet just holds your addresses and the keys enabling you to spend the bitcoins sent to your addresses.
Or, at least, that is how I think it works - I'm as new here as you are, so I might be wrong