No.You must specifically set bits the the ADC registers to use these triggers.
Like CTRL1 Bit 12 SYNC0:
"Synchronization 0 Enable bit. When this bit is set, a conversion may be initiated by asserting a positive edge
on the SYNC0 input. Any subsequent SYNC0 input pulses that occur during the scan are ignored. In once
sequential and once parallel scan modes, only the first SYNC0 input pulse is honored. Subsequent SYNC0
input pulses are ignored until SYNC0 input is re-armed by setting SYNC0. This can be done at any time, even
during the execution of the scan. The ADC must be in a stable power configuration prior to writing to START0"
0 Scan is initiated by a write to the START0 bit only
1 Scan is initiated by a SYNC0 input pulse or a write to the START0 bit