YES they can hang out and chat a bit while on guard duty for cute girl bonding 🥺!! they can discuss the upcoming execution....

i saw in your plotting comment that you're looking for people to encourage gray about the kenoma and misa can do that too as well while they hang out!! i think she would sense if gray seemed outwardly nervous or conflicted...... and misa will be like, just think of it this way, this one person will die so less people will be inspired to piss off the regent probably (citation needed)