I already heard and read on various occasions Americans use the expression "to set up" to seemingly mean "to arrange" as in "I'll set up reservations for you" or "I'll be more than happy to set up a custom tailored schedule of activities for as long as you're with us".
The funny thing is I can't seem to find one dictionary online that states this sense of "to set up" as fact.
Actually, the definitions of "to set up" that I found to approximate "to arrange" the most are "to make carefully worked out plans (usually mischievous ones) for" [set up a kidnapping, a jewelry heist, etc.] -- and "to assemble and erect" [set up a new machine], which, I guess, can also be used metaphorically.
And so, I wish you could tell if "to set up" for "to arrange [a reservation, a program, a schedule, etc.]" has any accuracy in modern day AmE, and if it's safe to use in every which context and register but the most formal ones.
E. g.
Teen campers will be contacted by their group leader prior to camp to find out their goals for the week and set up a program of activities for the group. source