Allow users to add rows not in every table but on the same page

Is it possible to set the permission for adding rows, for each individual table separately.

So I have two tables on one site.

First table is a Fitlertabel and the second is the table that get filteret (by the first table).
The first table is a One-Row-Table and no one shuld be ablte to add a row.
The second one is a normal datatable

How can i do this?