Yes, we do. Lots of data, lots of training, better algorithms, more understanding of the brain...At this point we still need 10x+ improvements in a lot of areas, but it's pretty clear what we need to do.
If you can process around 100 petabytes per second (1 Google Index of data per second), you could fully simulate a human being, including their brain. We're still a little bit from that, but it's pretty clear we'll get there (barring usual disclaimers about an asteroid, alien invasion, etc).
Source: I work in medical research, doing deep learning, and do research on programming languages and deep learning for program synthesis.