Generally yes. Think about it in frequency domain: there, convolution is simply multiplication, and if either the signal or the impulse response have no energy above some frequency, the resulting output will not have any either.
What is resampling a signal?
resample Function
One resampling application is the conversion of digitized audio signals from one sample rate to another, such as from 48 kHz (the digital audio tape standard) to 44.1 kHz (the compact disc standard).
What is a real valued impulse response?
There is only one type of impulse response, and this is a system's response to a Dirac impulse δ(t) (in continuous time), or - in discrete time - to a discrete impulse δ(n). For a real-valued system, i.e. a system with real-valued parameters, the impulse response is always real-valued.
What is impulse response in DSP?
In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change.