No, no broiler does not mean oven safe.
Oven-safe means that an item can be heated in an oven to a particular temperature without fear of damage or melting. Most cookware is oven-safe up to 350 degrees Fahrenheit, but some materials (such as glass) can only handle lower temperatures. Broilers, on the other hand, are much hotter than your average oven—usually between 500 and 550 degrees Fahrenheit. So if your pan doesn't have a broiler-safe label, it's best to steer clear.