Yes, there are many conversion kits, but they aren't perfect so be careful if you intend to use some of the kit floss and some of the conversion. On the conversion kits you may see several original kit numbers all pointing to a single DMC number which means they are the best match available. Hope that makes sense.
I have blended original and conversion floss and used it in an area not close to the original color, but that won't always work.
When I stitch Dimension kits, I save the floss so that it might help a shortage in a future project. Their kits use a lot of the same colors.