dchev,
In a word, NO.
The relay they supply with these kits is an inline type.
As you might have seen in a previous post in this thread, it was explained that what you need is the factory type "Plug-In" style relay that goes in the fuse box, located in the engine compartment.
These kits that are offered on
ebay are for Corollas that don't come with the factory wiring harness.
If yours does, it should have the 9006 plugs tied up along side the radiator surround.
If you get underneath the front end and reach up on either side, you should feel these there.
I could not see them from the top.
You also will need to acquire a turn signal switch with the extra option of the foglight switch.
This will make the installation the same as factory.