Multisqueezed states, also known as generalized squeezed states, are valuable quantum non-Gaussian resources, because they can feature nonclassical properties such as large phase-space Wigner negativities. In this paper, we introduce a shortcuts to adiabaticity (STA) method for the fast preparation of multisqueezed states. In contrast to previous STA methods, which rely on the use of counterdiabatic control to suppress unwanted nonadiabatic effects, our method simplifies the process and accelerates state preparation by selecting an appropriate sampling along a quantum evolution path. We demonstrate the high fidelity and fast preparation of multisqueezed states, as well as hybrid entangled states between a bosonic mode and a qubit.