Questions about Learnable parameters

optimizer = [includes params of Encoder + Classifier1 + Classifier2]
# Network Flow
Encoder  -> Classifier1 -> Backprop loss1 from Classifier1.
         -> Classifier2 -> Backprop loss2 from Classifier2.

I want to add learnable parameter 'w' to loss1 like 'loss1 * w'
Is it possible that w is adjusted by Classifier2 not Classifier1 ?