If by "no doc" you mean "no income verification" loans, then YES.
There are a few programs left, and I am doing them.
1 --You need a large down payment -- at least 25 percent down for a purchase or 65 to 75 LTV for a refinance -- and you must document sufficient liquid assets to close and reserves. The lender will verify that you actually do the kind of work you do (i.e. if you are self employed, for example, you could provide a CPA letter and, say, articles of incorporation or a 411 directory listing for your business -- whatever is appropriate.)
2 -- The lender will scrutinize whether your line of work is commensurate with the kind of money you would need to pay your mortgage. (if you own 3 pizza parlors you could be making a lot of money. If you own a small hair salon in the burbs, maybe not. If you are a 25-year-old recording engineer, probably not. A 45-year-old recording engineer whose clients include big names, then fine. etc)
3 -- You need excellent credit, of course. A mortgage history or great rental references also help.
Residential Home Funding