TLDR : In short, no. Argan oil will not dry out your hair as it has natural moisturising and hydrating properties.
What this means is that argan oil is made up of healthy fatty acids such as omega 6 and 9, as well as linoleic and oleic acids which all help to restore the natural barrier on your scalp. This natural barrier is the scalps protective barrier, known as skin or lipid barrier. It is naturally made up of natural oils, skin and fats which are all good for your scalp health.
Argan oil helps to restore this barrier especially if its damaged or inflamed, keeping moisture in and irritants out, which typically means less dryness and dead skin flakiness.
It is important to remember, like with anything, not to over-apply the oil blend as this can result in the buildup and eventual blocking of pores – always follow the instructions for best use.
As well as this, using argan oil which has silicones, synthetics or fillers can also result in a low quality blend and have the opposite effect. It is vital you look for cold pressed, 100% pure argan oil to get the best results.