Are there positive integers $\Delta, d$ such that the following statement is true?
For every $n\in \mathbb{N}$ there is a graph $G = (V,E)$ such that $|V| = n$, $\Delta(G) \leq \Delta$ (where $\Delta(G)$ is the maximum degree of $G$), and $\text{diam}(G) \leq d$.