Technically, not necessarily

Since at a certain point in time you will likely have just dust remaining in your wallet which will not be enough to cover your transaction fees. And this is a more serious issue than it can appear at the first look as "many a little makes a mickle", i.e. many small amounts accumulate to make a large amount. Exactly this happened when Bitcoin rose and transaction fees rose along with it, ultimately leading to these small amounts in many wallets across the blockchain essentially left for dead and removed from circulation