The Pulse Sensor Amped will operate at 3.3 V, so it can be powered by Pinoccio's 3V3 output pin. Its current draw is well within what can be supplied.
However, the signal from the sensor needs to be below 1.7 volts in order to be read by one of Pinoccio's analog inputs. You'll need a voltage divider (to learn more, see the tutorial at: https://learn.sparkfun.com/tutorials/voltage-dividers) between the Pulse Sensor Amped and the Pinoccio Scout.
If you use two 2200 ohm resistors, the maximum output voltage of the divider will be roughly 1.65 V (half of 3V3). The current flowing through the voltage divider will be a maximum of 0.75 mA (Ohm's law), which should be well within the range that the sensor's MCP6001 OpAmp can output.
Note that the actual output voltages will vary, since:
-the resistors in the voltage divider aren't precisely what they're marked
-the resistances will change with temperature
-the parasitic capacitance of the voltage divider will distort the signal slightly. Since the Pulse Sensor Amped sample code reads every 2ms (500 Hz), this distortion is negligible.
Since the sensor is looking for peaks in voltage (representing light detected), this absolute voltage variation shouldn't be a problem, although you may have to adjust the initial threshold value if your resistors are off spec.