as vhg says ... probably
if you have a new machine ... probably ok
if it was upgraded ... possibly ok (probably)
the update centre is supposed to check your machine and will make a best guess as to whether it will ... and what needs doing.
I hear that the majority of problems are with people who didn't check compatibility of hardware and software before upgrading to vista ... or have ignored warnings and installed favourite software from 98 or xp.
having said that ... with ms there are no guarantees ...
even if the rest of the world is OK ... yours could be the one that fails .... that's life