No.As far as i know that the human voice has a frequency up to 3.4kHz however the human can hear up to 18-20kHz (for example: music)
All the important consonants sounds in speech are well above 3.4kHz:
s, sh, t, th, p, f, h, j, k, v, etc.
In Google there are some funny articles about what people are guessing about what was said when the bandwidth is too low.