Could a menstrual cycle cause nause only when standing?

Unusual: Nausea may be part of a period, however only on standing makes one wonder about the possibility of other conditions such as benign intracranial hypertension (https://patient.info/health/idiopathic-intracranial-hypertension-leaflet), or postural hypotension among others. Both are not uncommon in young females. See Doctor licensed in your area for examination and tests.

Interesting symptons: you can experience nausea during menstruation is due to hormonal changes doing the cycle. Do you get light headed with standing? and my next question would be do you bleed heavily?