Only on condition that the whole thing reaches a planet suitable for life. If you pour it on Mars, then even after a billion years nothing will happen.
Terrestrial organisms (even bacteria) are adapted to water, oxygen and other delights of the atmosphere. Without this, the bacteria will simply die.
Of course it can. After all, they contain live bacteria. Which are partially responsible for the sight and smell. And since bacteria are life, then, yes, they can appear.
Stanislav Lem has a novel or a story like that. Not about excrement, but just something thrown away. From which life appeared on Earth later))
Lem, in general, a funny writer.
I'm almost sure that it was in the Diaries: wikipedia.org
Read it, you won't regret it. Very fun, and in terms of scientific ideas at a very high level, although there were some bloopers. But the more interesting.
Someone threw away the eggs, and then they discuss the new life and are surprised, but really protein-based, but really soft ...))