Yes, one can get too much protein (and most Americans do!). Protein (especially animal protein) is very acidifying, and can lead to kidney problems (from the body having to process it) as well as leaching of minerals from the bones in order to buffer the acidifying affects of it. Excess protein also has a negative effect oon the immune system (though sufficient amounts of protein benefit the immune system).
You can most certainly get enough protein through diet alone (nature wouldn't have made it otherwise). In fact, in studies on the effects of insufficient protein, it is difficult for researchers to find a diet that is sufficiently low in protein to cause a nitrogen imbalance in the body (a sign of not enough protein).
That being said, I like to make a morning smoothie with protein powder in (either pea/rice blend or hemp protein powder, or a combo of the two), just to make sure I get that extra boost in the morning (because I'm not a big breakfast eater otherwise). And when I workout hard, I sometimes will also have a smoothie made from a brazil nut protein powder with maca and goji berries.