Suppose we are given a convex polytope in terms of the face variables.

That is, let $Y = (1,x_1,\dots,x_n)$ and suppose we have vectors $W_a$ in $\mathbb{R}^{n+1}$ such that the locus $W_a \cdot Y \ge 0$ defines a convex polytope in $\mathbb{R}^n$. The vectors $W_a$ are the face variables.

Is it possible to change slightly these $W_a$ in such a way that the locus $W_a \cdot Y \ge 0$ defines a polytope combinatorially equivalent to the original one? (Same facet poset)

In this sense, how "continuous" is the combinatorial structure of a polytope as a function of the face variables?