Not really no. The amplifier head contains the electronic components that supply the electrical power, and the speaker cabinet as the name implies contains speakers that turn this electrical power into sound by moving a cone that pushes air around.
Some heads can only supply power safely to a 4 ohm minimum impedance or higher, as long as you're using the right impedance your head is fine.
In addition to impedance values, speakers and heads have power ratings. A head that supplies 300 watts at eight ohms of impedance could supply that 300 watts to a cabinet rated for either 200 or 1200 watts of power handling equally easily provided they're both 8 ohms of impedance. However, with the 200 watt cabinet, you could damage the speaker if you're not careful by putting too much power into them, as opposed to the 1200 watt speaker which handles more power. Heads are rated to supply a given amount of power in watts at a given impedance load, and speakers are rated to handle a given power load and are also rated to have a given impedance.
Some speakers might be high in sensitivity which would make them louder at a lower power level but may trade this off for lower power handling or less low bass capabilities, while others might have a lower sensitivity and therefore be quieter at a given power level but may also have higher power handing and more low end capabilities. This is all a gross simplification, but I hope that this explains things well enough.