Hi Brandon, the 10-34 mount referenced below is for the 6.5" barrel, it will not work on this gun.
You can replace the rear sight with this Allchin Taurus tracker RMR mount >>> allchin Taurus tracker RMR mount
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Or this Weigand Taurus weig-a-tinny mount >>> https://jackweigand.com/products/taurus-revolver-model-mini-scope-mount/
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The front sight is not made to be replaced, but can be if you are mechanically inclined. See this thread >>> taurusarmed.net/threads/627-tracker-front-sight-swap-upgrade.440215/
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Stay safe & have a great day!

yes a good gunsmith can do what you want but it will be pricey

Hi Brandon and welcome. Please watch this video in its entirety. The Taurus 10-034 mount is designed for the longer barreled 627 with the ribbed barrel. This 627 does not have a ribbed barrel as this 6.5-inch model pictured here: taurususa.com/revolvers/taurus-tracker/tracker-r-627-357-mag-38-spl-p-matte-stainless-6-50-in-r -------------------------------------- Other options detailed in this video: -------- youtube.com/watch?v=rGRoRbj3siQ ---------------------- A gunsmith is recommended for the front sight replacement. Cheers, stay safe and enjoy!

Use the Taurus 10-034 mount that attaches to the rib. Easiest approach!

Good morning to you!! To answer the rest of your question, the front sight is removable but require a bit of work. The pin holding the front sight in mist be drilled out the front sight replaced, the drilled for a new pin. Needless to say that this is a job for a gunsmith or machinist. The Taurus 627 isn't drilled and tapped for a sight mount but you can get a mount on eBay (see below for link) for the Taurus 10-034 mount that attaches to the rib of the pistol. Hope this helps.
https://ebay.us/m/9um9q3

Good morning to you!! use the Taurus made 10-034 mount that will attach to the rib without drilling.
https://ebay.us/m/9um9q3
Hope this helps. Have a good day.