Can I have two credit cards from the same bank?

I already have a ICICI Bank credit card. Can I apply for another card from the same bank? Will it affect my credit score?

I've held this card for 3 years. Quick reality check: the welcome benefit is good, the first-year fee waiver is easy, but from year 2 onwards you really have to work for the milestone benefits. Don't keep it if your monthly spend drops below the milestone threshold.