Yes, exactly!
Correct by scientific definitions, life is easy to prove.
But on a more philosophical/metaphysical sense, Life is not provable by physical observation.
I'll have to think of a way to explain how to say it, but one way to consider it for the time being is this:
"Can you put Life into a wheelbarrow or a jar?"
Not living cells, or cells with Life in them. But Life itself?
I admittedly know very little about science, so I'm probably out of line saying this, but I think Science yields a limited definition of life being "
An organism that is alive is something that has a respiratory system and can reproduce etc"
What about volcanoes that are active? There are dormant volcanoes too. So could it be said that some volcanoes are alive while others are not?
Or what about astronomical objects? There are stars that are alive and active (our sun for instance, which we wouldn't be alive if it wasn't). Maybe I'm wrong, but the Sun doesn't have a respiratory system nor does it reproduce. So can it be considered alive?
The scientific definition, to me, is hyper-focused on the human experience in their definition of life. Makes sense, since humans are the one conducting scientific experiments and defining the rules and laws. But that's similar to how many religious leaders and organizations interpret God as some bearded guy in the sky throwing lightning bolts at sinners imo.