答:能,将$\frac {1}{6}$和$\frac {1}{5}$通分,
$\frac {1}{6}=\frac {5}{30}=\frac {10}{60}=\frac {15}{90}$
$\frac {1}{5}=\frac {6}{30}=\frac {12}{60}=\frac {18}{90}$
比$\frac {1}{6}$大又比$\frac {1}{5}$小的分数有$\frac {11}{60},$$\frac {16}{90},$$\frac {17}{90}$等