If your pedal can operate with a single 9V battery, yes.
If the power jack on the pedal is labeled 9VDC and uses less than 1700mA (virtually all pedals use far less current than that), yes, the 1 SPOT can power it.
The 1 SPOT is 9VDC (not AC), with a barrel-style output plug which is center negative. The polarity symbol looks like this:
The Converter Plugs (CL6, C35, CYR, CBAT) allow the 1 SPOT to work with other types of DC power jacks and/or opposite polarity.
Most pedals use the barrel-style power jack with the polarity described above. For most others, one of the 1 SPOT Converter Plugs should make it work.
If your pedal requires 12VDC, 18VDC, 24VDC, or any voltage shown as AC, the 1 SPOT will not power it. (You can try a 1 SPOT with a 12VDC pedal, but it might sound a bit different. No damage will occur.)
The only exceptions are some Line 6 pedals (like the DL4, etc.) which show 9VAC on the pedal, but can actually be powered by a 1 SPOT with a CL6 Converter plug attached.
Occasionally, some pedals do not share power very well with other pedals, but this is rare.
In most cases, you can link your pedals with Multi-Plug 5 or Multi-Plug 8 daisy-chain cables, having all of them sharing a 1 SPOT.
If you have a fuzz pedal that uses germanium transistors, it probably cannot be used on a daisy-chain cable (MC5, etc.) with a 1 SPOT. It would need a separate 1 SPOT just for that pedal.
Note: This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to part 15 of the FCC Rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, the user is encouraged to try to correct the interference by one or more of the following measures:
— Reorient or relocate the receiving antenna.
— Increase the separation between the equipment and receiver.
— Connect the equipment into an outlet on a circuit different from that to which the receiver is connected.
— Consult the dealer or an experienced radio/TV technician for help.