Can anybody apply for a credit card?

I was wondering if anybody can apply for a credit card? and if yes which one would be best for my situation? My health is currently under investigation and has been on/off for the past 7 years. I have worked inbetween but have spent more time on sick living on savings that I earnt or with family on incapacity/jobseekers etc I owe my family money and really need to move out. I cant get a loan due to not having any credit history, does it work the same for credit cards? I was hoping with the credit card to put a deposit down for somewhere to live and to set up a business(spending max £1000)