Yes, but it is like a child who falls in a hole. When he hits the bottom he is no longer falling (thats good!) but he is also at the bottom of a hole. Technically, our economy is no longer falling.
The NBER BCDC (the people who define when a recession begins and ends) say the following:
"A recession is a period between a peak and a trough, and an expansion is a period between a trough and a peak. During a recession, a significant decline in economic activity spreads across the economy and can last from a few months to more than a year. Similarly, during an expansion, economic activity rises substantially, spreads across the economy, and usually lasts for several years."
By this metric, the recession is over. Economic activity is picking up and people are (slowly) being hired. Unfortunately, we are in a very deep hole.