All ions exist in combination. Positively charged ions are called cations, and negatively charged ones are anions. They exist together in proportions that will allow the number of negatives to cancel out the positives. An ion with a double negative or positive charge can be balanced by two single-charged ions of the opposite type.
Sodium bicarbonate as a powder in the tub of baking soda has sodium ions combined with bicarbonate ions. Sodium bicarbonate (or sodium hydrogen carbonate as I suppose I should call it now) is a salt. When salts dissolve in water, the ions split up, they don't stay together in the solution. But the solution still has the same number of positive and negative charges.
The water in a tank is a bit of a soup. It's not just pure water, with sodium ions and bicarbonate ions if you choose to add it. The water itself exists partly as hydrogen ions (H+) and hydroxide ions (OH-). There will be nitrate ions (NO3- ;yes, nitrate is an anion), traces of nitrite ions, and some ammonium ions (freshly made by the fish and just needing to be sucked into the filter). Calcium ions and carbonate ions (these are what cause the water to be hard, and there will be some even in soft water). And hundreds if not thousands of other ions too. Because these ions are not bound together in water but can travel freely of each other, the sodium ions don't form a compound. If you evaporate all the water off, the various ions will come together and crystallise out (think of sea salt). The exact compounds made will depend on how the crystals form, it'll be a mixture of all the ions just jumbled up together. In sea salt you can't separate the sodium chloride from the magnesium sulphate etc, they are all mixed together in the same crystal. Some of the sodium will be sodium sulphate, some of the magnesium will be magnesium chloride. And there's a lot more than just these four in sea salt.
So as a solid, sodium ions will always be in combination with an anion, trapped in a particular arrangement. This arrangement will vary with the anion as these compounds have their own particular crystal lattice. When the sodium ions are dissolved in water, the anions are still there with the sodium but not in a fixed arrangement. And if there are other ions there too, like in a fish tank, you can't even say that the sodium ions are in combination with any particular anion.
Sorry, I'm not very good at explaining things.
Edit: must learn to hit the right keys when typing