this home is on a very small lot - .13 acres - so most likely not.
As John mentioned below, whether there is space will be a zoning issue and most towns have at least a 10' setback from side boundaries, but each town is different, so you can't make assumptions.
If you are looking for a home and have questions, it is usually best to find a single realtor to work with. They will have the opportunity to get to know you and what you want. They also have more detailed information than what you will get on Zillow and can point you in the right direction in terms of where you need to go to find answers that pertain to zoning, etc. If you talk to a few realtors and find one you want to work with, I think you will find it makes your buying process a lot easier..
I don't handle properties in that price point in Waterville, but I could certainly recommend some agents to you.. let me know if I can help..