No, the frequency and amplitude of electromagnetic radiation do not affect the speed at which the particles of the wave travel along the sinusoid.
In an electromagnetic wave, such as light, the speed of propagation is determined solely by the properties of the medium through which it travels. In a vacuum, the speed of light is approximately 299,792,458 meters per second and is constant regardless of the frequency or amplitude of the wave.
The frequency of an electromagnetic wave determines its color (in the case of visible light) or its position in the electromagnetic spectrum. Higher frequency waves have more oscillations per unit of time, while lower frequency waves have fewer oscillations per unit of time. The amplitude, on the other hand, represents the intensity or brightness of the wave.
While the frequency and amplitude influence the characteristics of the electromagnetic wave, such as its energy or brightness, they do not affect the speed of the wave itself. All electromagnetic waves, regardless of their frequency or amplitude, travel at the same speed in a vacuum.