Whether you are entitled to be paid on days when you can't make it into the office will depend on your written contract of employment and the usual practice in your workplace. Many employers will have an explicit 'snow policy' or 'bad weather policy', so that employees who are genuinely kept away from work by snow or other dangerous weather through transport disruption still get paid.
If your employer has no such policy, check what has happened in the past. Have staff normally been paid if snow, ice, flooding or other unexpected events have made it impossible or unsafe to get to work? If so, then you have a reasonable expectation that you will be paid, and could challenge your employer if they don't pay you.
With the help of technology, many workers will be able to get a lot done at home. If snow is forecast, it may be worth preparing for this by taking a laptop or other work material home with you.