No, they climb on the rails of those and they bend easily. Buy some regular bookshelves and use L brackets to attach them to the walls. Then use small L brackets to attach each shelf to the insides of the shelves. This is what child care centers do. It makes it safe for the little guys if they do climb on them. Her dresser is next. She will climb it like getting out of a pool, climbing up where there is no ladder.
If she wants to climb she will climb. Give her something to climb.
We bought our little guy a Kangaroo Climber from Step 2 through Sears. They ordered it online at the store and it was there a few days later. I was nearly $40 less than Toys R Us. They have all kinds of options now and each of them will fit in a small bedroom.
Our guys room is 11.5' X 12' and he had a twin bed, a 9 drawer chest of drawers, 3-4 bookshelves, and the climber was in a corner area. He climbed on it and slide for hours at a time. Be sure you get a big enough one since she is almost too old for a lot of the toddler ones.
They need to be challenged but still be safe so any that fit that in your lifestyle would be fine.
Here is a link to step 2 climbers. They do come in different sizes and for different ages, don't get one that is too easy for her.
http://www.step2.com/category.cfm?subcategory=1000&gr...