Well - it is possible to do - with a repeater 
So the basic logic is like this:
- you setup a global variable (add the Variable component) and give it initially value 1
- you use the value of this variable to make a repeater children around the row of fields you want to repeat
- Your “add” button just set the variable its value +1 which we result in automatically repeating more columns
- The delete should be only available on the last row and will do precisely the opposite - set the variable value -1
- Make sure you give the repeater a unique key element - like $index which is just the order - so elements retain their position and values
The whole form will be then submitted as multi record form - so on the server side you can just loop through all the records and do with each one what ever you want.
Hope it is a bit clear - it is a bit complex procedure but once you get it - it will all make sense