Yes, you can apply for more than one credit card. Many people have several credit cards. Nevertheless, if you have many credit cards, issuers can decide that your total available credit is already too high compare to your income, and may decide not to issue you more credit cards.

How do I apply for a credit card?
Why should I have a credit card?
How long does it take to get a credit card application decision?
Can I apply for more than one credit card?
Do I need to have an existing bank account with the bank I want to apply for a credit card with?
What is an introductory (or intro) APR?
I have bad credit - Can I still get a credit card and which one can I apply for?
What is a balance transfer and/or balance transfer rate?
What is a balance transfer fee?
What is a fixed APR credit card?
What is an instant approval or instant decision credit card?
What is a rewards credit card?
What is a cash back credit card?
I am a student - Which credit cards can I apply for?
What is a prepaid card?