Seyed Ali Shobayri, Seyed Ali Shobayri is of mixed Iranian and Scottish descent who found the path of the Ahlul Bayt (a) by his own research. He holds a BA in Islamic Studies from Middlesex University through the... Answered 6 months ago

Bismillah, 

Asalamu Alaykom, 

If they are mahram to each other then holding hands is permitted. So if they are 'engaged' meaning that they have either conducted a temporary or permanent aqd which has been read for them, then it's ok. If neither have been read for them yet, then they aren't allowed to physically touch each other regardless of what the parents say. 
 

May Allah grant you success