Yes, as long as you make sure the pages you’re visiting are encrypted with SSL, you’re safe.
SSL is a secure, encrypted connection between your computer and the site you’re viewing. Most banks use SSL to prevent third parties from snooping on your information.
To make sure you’re safe on a website, look to your address bar. If the URL of the website starts with “https://” and you can see a little lock sign – either in the address bar or in one of the corners – then the connection is secure, and the data you’re sending back and forth is safe.