Is there a polynomial $p$ such that it is bijective and $ p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $ n>1$ ??

Question

Let us define a polynomial $p$ defined as follow $$p: \mathbb{Q}^n \rightarrow \mathbb{Q}.$$

I acrossed this question in mind. Is there a polynomial $p$ such that it is bijective and $p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $n>1$ ?

Note: $p$ is polynomial with $n$ variables $p(x_1,\dots x_n)$.

Thank you for any help