When a limit order is open, the tokens in your wallet are not locked. This means you are free to swap or send these tokens as you wish.
A limit order will remain open until it can be filled at the exact price you set, it is cancelled, or it expires. However, for a limit order to be executed your wallet balance must at least have the amount of tokens you intend to swap.
Orders closed due to a lack of funds do not have a network cost.