Yes, absolutely. In fact, the strongest candidates often look less memorized, not more. What matters is whether your structure responds logically to the question and helps move the case forward.
Frameworks can still be useful as training wheels because they teach you common dimensions of business problems. The mistake is treating them as fixed scripts that you recite regardless of the case.
A good compromise is to learn the underlying logic behind common case types, then practice rebuilding the structure in your own words each time. You may also find it helpful to read the 4-part flow of a case interview if you want a more structured way to practice this.