Creating custom id's

Is there any way to change the id of  a custom crafted item with custom model data?
Or atleast have a way to change  what you can craft with it, or it's functionality. 
Currently i have a 'parasol' item which protects against  the sun in my datapack, however it had the id of a hoe so it can still till the ground.
And another thing i have is a fried egg, which has the id or dried kelp, but you can still craft dried kelp blocks with them.