Is there a  simple  smooth closed curve $\gamma$ in $\mathbb{R}^{3}$  such that for  all $x,y\in \gamma$  with $x \neq  y $,  $l_{x}$  and  $l_{y}$ are  [skew  lines](https://en.wikipedia.org/wiki/Skew_lines), where $l_{x}  $ and  $l_{y}$ are straight lines tangent to $\gamma$ at $x,y$, respectively? What  about real  analytic  case?