Is it possible to disable crafting recipes in Minecraft for certain items and not disable others?

You can set the gamerule doLimitedCrafting:

/gamerule doLimitedCrafting true

That prevents everyone from crafting anything for which they haven't unlocked the recipe yet.
To allow them everything by default, do this:

/recipe give @a *

Then take away all the recipes you want to become impossible:

/recipe take @a <name>

with <name> being the recipe's name, which you can easily get with autocomplete.