Can hypoglycemia cause anxiety?

Yes. It could make you feel your heart racing so that you could experience a feeling of anxiety. The low blood sugar will cause your body to make more Adrenalin making the heart beat faster.
See Below. To figure out what's causing your anxiety, you need to talk to your primary care doctor to rule physical things out. Briefly, when your blood sugar gets low, your body tries to compensate by increaseing adrenaline, with the increase of adrenaline in the body, the sympathetic nervous system is triggered, causing increase heart rate, blood pressure, muscle tension, nausea, sweating.