ONE of the reasons it might be tappets. But dont go for the head rebuilt. your engine would get ustadified. its not required at all.
there is a procedure for adjusting the tappets and the required clearances are mentioned under the bonnet. You should get hold of the Toyota Engine Repair Manual for your Vitz Engine. You ll need valve buckets of different sizes depending upon the clearances of the tappets. these can be worked out by knowing the thickness / size of the current buckets for each of the valve, the clearance of each of the valve and the required clearance.
head rebuilt is only required when the clearance is too large to be adjusted by using any valve bucket.
(note: your engine may have provision of installation of shims instead of buckets. read the manual first)