No if your lucky you may find the car struggles to start but does.
If your battery is in good condition it will take 2 - 3 days.
The reason i know a K is ok is i have an A revision that is on 2724 firmware (i have an Octavia vRS) and when i went away on honeymoon it was left for nearly 4 weeks and it started first time.
BUT i can't say if for some reason the LED version drains the battery as i haven't tried one.
If it does i'll swap you My A version for your C version free of charge
