I'm going to fill out doctor paperwork during training at my job
Why are you going to fill out medical paperwork during training at work?
I don't have time at home to get the paperwork done.
I know that time is precious to you, but taking company time to do personal paperwork is unethical. Find time to do the paperwork at home or get someone to help you.
I don't have time during my 5 days of work this week.
It can be hard to find time to get things done but if you continue to do personal things during your work hours, you could get fired. You can get some time off if you really don't have time when you are off work.