Is acrylic paint good to paint a glass lamp?

Yes, Acrylics will adhere to glass. If using the glass outside, be sure to varnish with a uvls varnish to prevent sun damage. I have used acrylic paints on many outdoor craft projects, some of which have been exposed to the weather for several years. None of them have dissolved or ran. Acrylic paints are composed of acrylic polymers and pigment suspended in water. As the water drys after application the polymers fuse together and form a strong permanent water resistant paint. In fact polymer craft paints were first used as high grade exterior water based house paints. Many of the better exterior water based house paints are still acrylic.