Is it possible to filter a frequency?
Any filter can be designed in theory to any practical specifications.

No filter can be designed with inadequate specifications.

A filter must not distort the signal amplitude in the passband (PB) with gain
But must also attenuate noise in the stopband (SB).

Thus a minimum of 5 parameters are needed for a LPF.   

A full answer is not possible, because you MUST define signal spectral density ( f vs amplitude )and noise spectral density or amplitude an PW50 ( 50% pulse width ). An optimal filter may be selected by matching filter response to signal response and inverse of noise response.

There may be other specs from group delay.

Hypothetical             Spec 
======================== ==========
Av (gain)                1000  2%
Ripple (dB)  in PB gain  0.5dB max 
BWp of PB (Hz)           1591 Hz
BWs of SB (Hz)           5000 Hz  ( knowing SB/PS = -6dB/oct per order)    
SB rejection at BWs (dB) -60dB