On the twisted Fock space $ \mathcal{F}^\lambda(\mathbb{C}^{2n}) $ consisting of entire functions $ F $ square integrable with respect to a weight function $ w_\lambda $ we consider two kinds of convolution operators $ S_\varphi^\lambda$ and $\widetilde{S}_\varphi^\lambda$ for any given $ \varphi$. We have necessary and sufficient conditions on $ \varphi $ for these operators to be bounded on $ \mathcal{F}^\lambda(\mathbb{C}^{2n})$ which leads to a curious uncertainty principle: for any non constant $ \varphi $ at most one of the above two operators can be bounded!