No, that is fiberglass. When it comes to asbestos insulation, it is found only in loose fill types, and in a solid board configuration. Asbestos was never used in a batt form of insulation which is what your picture is of.
The typically greenish colour and the smaller gaps between the fibres suggest to me that it's mineral wool (aka "rockwool", although that's technically a brand name) rather than fibreglass. The two have pretty similar properties, but mineral wool is generally slightly more irritating to handle ... I'll handle fibreglass without gloves if I have to, but I won't go near mineral wool without good protective equipment because I'll be itching for days if I do.
Dang, that's tough. I want to say it's mineral wool but the sides are more puffed out than they should be from the factory, but that happens as soon as it rubs against something. 99.99% sure it's mineral wool. I've worked with that stuff for two house builds. The part that tells me it's mineral wool is the stamp pattern on the face (left side in photo). That's the same stamp that is used once it's super heated (* not actual term) and compressed into a batt. It's excellent (and itchy) stuff. I don't care who you are, it's not "fun" to work with as they market it. Cut into it, and try installing it in the house without a mask. Guaranteed problems that evening and you will hack up black crap. It's very good stuff, just wear proper gear. I learned the first time around and invested in a suit and proper mask.