It depends on your system. You need a analog to digital computer and a DAC that are as good as your analog system. I digitize at 24/192 with a professional ADC and have chosen my DAC to have a similar sound signature to my analog rig. With that, the digital files sound very similar to the LPs.
So, yes it is possible to get the LP sound as long as you match your ADC and your DAC to your analog setup.
So, yes it is possible to get the LP sound as long as you match your ADC and your DAC to your analog setup.