Yes, in this Collider interview writer/director Luc Besson confirms that the human character was named after the real prehistoric Lucy:
Basically, she’s a normal, average girl. She’s studying in Taipei. She’s wondering what she’s going to do with her life, like every student woo’s 22 or 23 years old. And then, something falls in her lap that she was not expecting, at all. It could happen to you, or it could happen to me. It’s really a bad thing. And because of the consequences of that, she knows what she’s going to do with her life. She’s going to evolve. Her name is Lucy in reference of Lucy, the first woman that we discovered. The first Lucy was alive 3.4 million years ago. That’s a statement about evolution. The brain of prehistoric Lucy is 400 grams. Our brain today is one kilo and four grams. We took one kilo of brain in four million years, which is very slow. It took three million years to get from 2% to 10%, where we are today, and it’s going to take her a couple of hours to go from 10% to 100%.
He also mentions in this interview that the hominid we see at the beginning of the film is meant to be "the prehistoric Lucy".