When pregnant: seek professional help for acupressure if you have a history of miscarriages as some points are contraindicated for pregnant women.
Treating anxiety attacks with acupressure can be as simple as episodic stimulation of particular points for acute attacks.
The most well known point is utilized by wrist bands with plastic beads (for motion sickness) sold at many travel destinations around the world. One point, accompanied with mental intention can help people become attack free.
There are no harmful side effects from stimulating these points unless you are pregnant (see above).
Meditation while doing self stimulation of points enhances the benefit. Focus, awareness, and mindfulness, are states of mind associated with meditation.