Okay, she is too young to be diagnosed conclusively or medicated. It could be just one of those toddler things, as all kids are different.
However, I will say that sounds a lot like how my mother described ADHD me at that age. I escaped cribs, shopping cart seats, car seats, and clothing. I climbed furniture like a tiny mountaineer. My first word after mama was "up," meaning "ungate the stairs so I can climb up and down them repeatedly." I soon also mastered, "no nap."
There is one other possibility: You might want to have her evaluated for autism or autism spectrum disorder. That can be diagnosed in toddlers, and there are educational and behavioral treatments that are best begun as soon as possible.