Is it prudent to use both logistic regression and parametric survival models on same dataset?

I am doing a study which has two objectives:

1. effects of variables on timing to vaccination
2. factors associated with delays to vaccination

I have conducted a parametric survival model to assess the effect of those variables to timing of vaccination.(after the cox proportional assumption was violated)
I now want to define my delay variable and then run a logistic regression to determine the factors associated with delay

Is this a prudent way to go about my analysis?