Plants and animals are very different. The methods used in in vitro
tissue production aren't transferable to plants. Furthermore it isn't needed, if we really wanted to grow plants with just the parts we want to eat, higher nutrition, controlled environment etc we could just grow hydroponic GM crops.
Unfortunately we're not there yet. The first "burger" is scheduled for this year and will cost over £250,000. There is a long way to go after that to get close to mass production and the obstacles we're facing are non-trivial.