I am also unable to understand why you have signed up for what I assume is a version of Adobe Acrobat Pro. Perhaps you will kindly tell us.
Anyway the direct answer to your question is that that subscription Adobe is fixed into your computer and is usable without being connected to the internet. However, I believe it is necessary to go 'on-line' once every 30days to continue doing so. If then you are Not up-to-date with your monthly/yearly payments, your licence will be terminated and the Adobe in your computer will be rendered inactive.
Hans..