Yes, however one needs to take into account the difference in viewing devices (screens are self illuminated and film/paper subtract colours from a light source) as well as the limited colour depth on modern monitors. After all, 10-bit colour wasn't available on mainstream GPUs until the last couple of years.
There are apps/plugins/filters that claim to recreate it, but like many other analog/digital comparisons, if you're rather used to looking at film grain with your naked eye or with a loupe, you will notice the difference.
It's an onoging discussion between people that are really into computerized photography or image processing, but some filters and techniques used with specific hardware that you took your time to calibrate look pretty legit.
Fujifilm's digital cameras come with fantastic built-in digital versions of Kodachrome (called Classic Chrome), Provia, and Velvia. I personally use a X100T but I think all current models have them.