Well not exactly.
First off, the second stage end is a rotating connection, therefore a true dynamic seal so it def needs to be lubed. Granted the lube from the old hose is likely enough but you really should clean out the connection and relube it to do it properly. There is a common misunderstanding on the first stage end. Most believe they are static orings and therefore do not need lube, well here is the rub, while it is true they are static in service they are by definition dynamic during assembly which means they do in fact need to be lubed. There are very few static orings used in scuba, the yoke valve to regulator being a prime example. Again, usually the old remaining lube is enough which is the reason most get away with not lubing them. Sorry but this is a pet peeve of mine.
Also, when removing and installing the hose on the second stage end, it requires 2 wrenches. One for the hose and another for the second stage nut. Often times the one for the second stage must be a special thin wrench to fit in the space between the hose and the second stage. If the second wrench is not used it is possible to damage the second stage due to torque applied to the plastic housing. This is most common during disassembly due to corrosion and/or excessive tightening of the hose nut.
I don't mean to over complicate the process but done incorrectly at worst it leaks and if care is not used, expensive damage can be done to your second stage. I am all for DIY but you do need to understand the proper way to do something.
