The short answer is sure; why not? However, you really need to ask yourself what your intentions and expectations are. You should also be aware of the style of music that you would primarily want to play.
For example: if you want to play some blues or honky tonk piano or maybe you want to play some pieces you make up or sing too, you might be just fine on your own. You might be able to find some good online resources and develop as a pianist and musician on your own.
When it comes to classical music however, you will be at a severe disadvantage without the help of a teacher. The complexities of reading a score, the traditions developed over hundreds of years, advanced techniques, there are a number of roadblocks that would be incredibly difficult to overcome on your own. Even if you are a genius, you will progress at a much slower rate than someone who has assistance from an experienced teacher.
If you are interested in other genres of music – jazz, rock, country, etc. – you can try and sit down with other musicians who are better than you and gain a lot of knowledge and experience from these types of “informal lessons”. Some of the greatest musicians in these other styles of music are not traditionally trained.
If you are serious about becoming a musician – really in any style of music – you will greatly benefit from one on one instruction a great teacher can provide.
Thanks again for joining me, Robert Estrin Robert@LivingPianos.com (949) 244-3729