I don't think you need to work digitally but it's definitely a good skill to have, especially when you're dealing with clients because you have to take trends and the time it takes to produce work into consideration. For example, clean, minimalist designs are very in right now, so demand for that kind of aesthetic will be high. That's not to say that you have to follow this trend to succeed, you just need to understand why people are so drawn to that type of aesthetic.
When I started working digitally, it was really weird too but you get used to it after a while. There's a learning curve for everything. But sitting in front of a screen for too long must be detrimental for your health, if it's too much discomfort then I really don't think it's a big deal whichever tools you make, just take care of yourself.