It isn't possible to share the internal clock with NI-DAQmx Base. The signals that can be exported are: ai sample clock, ai convert clock, ai start trigger, ai reference trigger, ao sample clock and ao start trigger. So, without some additional programming, yes, your devices will have to acquire at the same rate. However, there are some things you could do to work around this, like run a 'dummy' ao task and export the ao sample clock, or use the ai convert clock as the other devices sample clock, etc.
-Alan A.