Are tetracaine hydrochloide eye drops helpful in the treatment for pink eye?

No. Tetracaine will only numb the eye. This can potentially obscure an underlying problem.
No. Tetracaine is a powerful anesthetic agent that should not used except by qualified medical professionals. If you have a bottle, throw it away. It is dangerous to use this medication.

Related Questions

Could tetracaine hydrochloide eye drops be used for pink eye?

Not usually. there is no antibiotic in the above mixture. It would numb your eye leaving the infection untreated. Read more...