Leaching wood tends to acidify water a bit. So if you find your pH is on the low side, it may not help to have wood leaching in there. But usually it's not all that big an effect. You can test to be sure. As time passes the amount of leachate decreases anyway. Tannins from wood aren't harmful to fish. In fact, many fish actually enjoy having the tannins and humic acids from wood or leaves in their water.
If you've ever seen or heard the term 'black water', it means water that is so loaded with tannins and humic acids from wood or leaf litter that it looks like coffee or very strongly brewed black tea. A number of fish species, especially from the Amazon area, like this kind of water, which is often fairly acidic as well. That said, most fish are usually fairly adaptable and you don't necessarily have to reproduce the native conditions precisely.
So much wood and leaf litter ends up in the waters where heavy tropical forests exist. Often if you research a species, you'll find out what it's native water conditions are like. Seriously Fish is a site that has that kind of info on many species.