No. A lightning channel is 1 UTXO, lets say it is 1BTC.
Then we have 2 computers (Lightning nodes) that have copies of pre-signed transactions that will divvy up the balance based on what we agree, so let's say:
Me: 0.49999999BTC
You: 0.49999999BTC
fees: 0.00000002BTC
(Obv 2sat fee is unrealistic but small numbers help me math)
We also have an unofficially agreed balance between us, so actually, the balance is:
Me: 0.49999999,400BTC
You: 0.49999999,600BTC
Note that millisats always get rounded down even when it is more than 500msats
So it becomes useful when I make a payment to someone for 1000 sats and the fee you charge is 600msats
New balance becomes:
Me: 0.49998998,800BTC
You: 0.50001000,200BTC
Without the fee, it would be:
0.49998999,400
0.50000999,600
Keeping in mind that we always drop the msats when we settle, you just got an extra sat from the transaction. If the balances were different, then I might have saved a sat.
My point is, that while the channel is open, the msats add up in either direction but until the msats you see in your balance add up to a sat, you really don't have any extra money other than a subunit that will help get you the next sat in the next transaction.
After the 1000sat with 600msat fee transaction, we both have a new set of pre-signed transactions:
Me: 0.49998998BTC
You: 0.50001000BTC
fees: 0.00000002BTC
After every transaction, we both have enough data to just exit if we ever disagree on something.
So the msats aren't technically cryptographically secure, but we can both do maths, and if we disagree about the result balance after a transaction, like I believe I should have 1 sat more and you disagree, then the payment just fails and whoever feels cheated can just exit using the last agreed balance.
Nothing lost except a relationship between you and I. You will most likely no longer trust my node and you'll open a channel with someone else and you can always make the payment again through another channel or wallet or whatever because the transaction never completes unless we both agree... we keep each other accountable.
We don't find many (if any) nodes trying to cheat this way in the wild because it hardly benefits anyone.