Can a person become addicted to tea? Can one become addicted to tea like coffee addicts or smokers? I heard there are some common substances in tea and coffee, do they cause addiction?

Yes, both tea (black tea at least, English speakers usually mean black tea when they say tea anyway) and coffee have caffeine which is addictive.

Apparently, being able to correctly reply to this question involves defining the word "addiction". My guess is that the negative connotation of the word "addiction" will cause some pressure to not use it.

Here's a recent review on caffeine addiction that says that caffeine is _not_ addictive. I do not agree with their arguments but I'll leave it to the reader to judge.