Let's take a different naturally-occurring type of object that has only ever been found on Earth: waterfalls. To get a waterfall, you need a set of ingredients and circumstances to occur in a particular way that a waterfall results. We've only ever seen this on Earth. They come in many forms: Niagara Falls, jungle waterfalls, small waterfalls, even frozen waterfalls and underground waterfalls. They even have different colors, chemical characteristics, and each one can be said to be very unique from all the others.

We know of no other planet that has waterfalls.

Yet, because we have seen enough waterfalls on Earth we have an evidence-based scientific belief that waterfalls cannot be Earth-specific because all that is required for one: water, erosion, gravity -- exists throughout the cosmos in very large amounts.

Life is the same. We have seen enough of it in enough variety to know that it can take on many forms, including exotic forms that are impossible on Earth but would be possible elsewhere. The abundance of the ingredients and time are all that's required.