Yes, and it is a important duty.
In the USA the President spends way too much time attending funerals, event anniversaries , ribbon cuttings and other things that the Queen, as a mostly powerless head of state does instead of the PM.
I am disgusted by Last Week Tonights Jon Oliver making a big nasty salacious deal over the fact that Phillip and Elizabeth were “COUSINS!!!” 
.
Yes, barely related third cousins. Us average joes often dont even know who are our third cousins.
What a asshole.