Can a weak amp damage speakers?

Could you elaborate on the potential impact of a weak amplifier on speakers? Is it possible for a weak amp to damage the speakers in any way, or is the concern more about subpar sound quality? Additionally, are there any specific factors that can exacerbate the potential for damage, such as the type of speakers or the audio signal being played? Understanding these details would help me assess the risk of using a weak amplifier with my speakers.