I can rank #1 on Google within 3 days using a new website with 0 backlinks for the following search term:
hebotoadbillslate
Or millions of others...
If you want to rank for: lawyer nyc - well that's a different story.
Yes you can rank with no backlinks, but it is all completely relative. Every SERP is different. Really good on-site and traffic factors have been continually increasing factors (weighted) over the last few years, whereas backlinks have been continually decreasing factors.