Yes, you can use any fast charger to change. There is no harm. Brands use various technologies to provide maximum safety.
Actually, if you charge you mobile with fast charger, battery will remain input charge according to its capability. It would not take less time, if it is not support fast charge.
Different charger have different mechanism, their charging techniques are also different. So, better to use mobile's own charger or same brands charger. Don't use unknown charger to change mobile.