Yes - if you create a system which has this property.
But, if you want, you can get the opposite characteristic.
Summary: It depends on you resp. on your system.
I think it is necessary to better formulate your question.
Each electronic communication system has, in general, a lowpass response because no system can work for frequencies approaching infinite.
What really is your problem ? What kind of system - other than filtering - do you mean ? Amplifier ? Cable ? Modulator ? .......?
I'm just curious about a signal characteristic in general, but one particular system that I'm interested in is in a modulator, how does a signal behave in it?