Yes, bananas can become too ripe for banana pudding. When bananas become too ripe, they tend to be extremely soft and may have a mushy texture. They might also have a stronger, almost fermented flavor, which could overpower the delicate balance of flavors in the banana pudding. Additionally, very ripe bananas may release more liquid, potentially making the pudding too runny or affecting its overall consistency. For the best results, it's ideal to use ripe bananas with a vibrant yellow color and some brown spots.