If you have the right tools to work on the nut and you have steady hands there should be no problem , I did install a graphtech nut on my MIM a while ago and the result was fairly nice, they are great nuts it improved my guitar a lot which had an artificial bone nut originally installed.... but also I bought the graphtech nut that had already slots from factory so I didnt do that.... I recommend you to get the special set of files from Stew and mac those would work great for you and the filing job...
Here is my MIM axe by the way with the graphtech nut I installed

A few Make sure you dont remove the finish as the nut pops away I have seen people pull the finish on the side of the guitar off near the nut. I will score that area with a point of a razor.

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The strongest reason for the people to retain the right to keep and bear arms is, as a last resort, to protect themselves against tyranny in government.

Thomas Jefferson

I used to do that when I was setting up guitars in the music shop I used to work at during school holidays- A razor line will eliminate the finish shearing off more than it should- but seriously.. Go to a good music shop and they will recommend someone for you- dont do a DIY mistake..

Nuts should either be done by a local music store- or a surgeon