No, in the context of time dilation, individuals do not "feel" the effects of time passing differently. Time dilation is a relativistic effect that affects the measurement of time but does not have a direct physical sensation associated with it.
In the twin paradox, which is a thought experiment often used to explain time dilation, one twin remains on Earth while the other twin travels at high speed in space and then returns. The traveling twin experiences time passing more slowly due to their relative motion, while the twin who stayed on Earth experiences time at a "normal" rate. When the traveling twin returns, they would find that less time has passed for them compared to the twin who stayed on Earth.
From their subjective experiences, both twins feel as if time is passing normally for them. The twin who traveled at high speed may have aged less, but they would not have felt any physical sensation of time slowing down during their journey.
It's important to note that time dilation is a concept that arises from mathematical equations and observations in the theory of relativity. While it has been experimentally verified, its effects are not directly perceptible in our everyday experiences.