Answer:
It depends, but probably yes
Step-by-step explanation:
Earth is a great example: there are many places on Earth where the climate falls in "0 to 15 degrees Celsius during winter and 25 to 30 degrees Celsius during summer". It also has an atmosphere, so yes, water may be able to exist on such a planet.
But we also have to consider other factors like the thickness of the atmosphere, what it's made of, what the planet's made of, etc. So while water may exist, there are a plethora of other factors to consider.