If it is adjustable than you can reduce it.
You can also reduce the gain with varing anode DC feed with potentiometer or in SS case where there are few possibilities of implementing the amplification stages but in any case you should use the output DC feed. In the most common example with emitter-coupled stage you should apply the variable DC voltage to Kollector.
In both of the above cases the large variations of the gain are not acceptable since your offset is set to be for a particular gain i.e. you should vary the offset as well accordingly to the DC applied to the output electrode. That's why the variable gain is usually implemented stepped with for example 3...4 settings where you vary the output DC feed along with the offset.
You can also reduce the gain with varing anode DC feed with potentiometer or in SS case where there are few possibilities of implementing the amplification stages but in any case you should use the output DC feed. In the most common example with emitter-coupled stage you should apply the variable DC voltage to Kollector.
In both of the above cases the large variations of the gain are not acceptable since your offset is set to be for a particular gain i.e. you should vary the offset as well accordingly to the DC applied to the output electrode. That's why the variable gain is usually implemented stepped with for example 3...4 settings where you vary the output DC feed along with the offset.