Yes, Internet Banking is accessible via any PC with Internet access. However, before using Internet Banking you should ensure the PC has up-to-date security software and is free from Viruses or Trojans.
Try to avoid shared computers, like those at an Internet cafe, because you won't always know if it's backed up with good security software.
Keep in mind when using other computers to download your bank statement, the browser may cache your information and make it available for other people to view. To avoid this please ensure you clear the cache at all times.
If you must use a shared computer, sign out properly and close the browser or application completely when you've finished.