No. Transport trolleys are generally used as means of transport within the respective GMP cleanliness grade. Travelling from clean room class D to clean room class C for example is not permitted. Here, the material must be transferred from class D to a trolley only used in class C, in compliance with the corresponding SOP which describes the measures such as cleaning, disinfection, etc. The same applies to higher cleanliness classes.
[GMP Compliance Adviser, Chapter 3.M.3]