Yes, but it only happens 20% of the time. I'm male.
In addition, the shiver is a good feeling for me. The shiver is slightly reminiscent of a portion of the feeling experienced during orgasm for me...just a splash of the feeling. I've always wondered what the feeling of orgasm experienced by a woman is like. Considering the potential frequency and duration, I assume the female experience is quite different.
And apologies if that is TMI.