The Spanish flu pandemic killed approximately 3-5% of the total world population according to Wikipedia.

What was different and especially scary about the Spanish flu was that unlike other strains of flu, it was to young, healthy people - teenagers through to young middle age - as well as to other ages. That age group(the young), and that condition(physically strong) would have been less susceptible to other forms of influenza which generally were more fatal among the very young and the very old(much as is the case today).

Because of these factors - 3-5% population dying, and affecting all age groups - the logical conclusion is that yes, famous people died in the pandemic. The next question is "Who qualified as a famous person in 1918?" because fame is a slightly anachronistic concept.

However, Wikipedia does have a list of notable flu cases, both survivors and deaths. Just glancing through the list of survivors shows that FDR, Woodrow Wilson and David Lloyd George all survived, as well as the Queen of Denmark and the King of Spain. The presence of so many Heads of State(even Haile Salassie in Ethiopia), suggests that standards of medical care played an enormous role in curbing the effects of the flu. As per today, higher status in society would have a link to access to said medical care.