No. On MAX, the recirc door is opened. Power to the A/C clutch goes from the battery, to fuse, to in-cab control, to PCM, to low-pressure cutoff switch, to high-pressure cutoff switch, to the clutch. Any one of the items between the battery and the clutch can disable the clutch.
Normally when the clutch is engaged, the compressor draws down the low pressure side. If not enough coolant flows from the high pressure side through the evaporator, then the low-side pressure can drop below about 23 PSI. At this point, the low-pressure switch opens and disables the clutch. When the low-side pressure rises to about 45 PSI, the low-pressure switch closes and enables the clutch. Ad infinitum.
If the compressor never cycles off and on, then there are two possibilities. The first is that the system has the exact amount of R134A that keeps the low pressure side between the low limit and the high limit; this may be true only in specific temp/humidity ranges.
The second is that the low-pressure switch is faulty.
A cheap parts store low pressure A/C gauge will show if this aspect of the system is functioning properly.
OK, there's a third possibility: the wiring was modified to bypass the PCM and low-pressure switch, and possibly the high-pressure switch.