No, if this person only became a chargeable person for the first time in 2010, then they have until 31 October 2012 (or whenever the extended deadline is this week for online filing), to file both of the first 2 years' returns i.e. you get an extra year to file your first return.
The tax liability should still have been paid by 31/10/2011 though, so he's exposed to interest. If the 2010 and 2011 returns are not both submitted and paid online by 15/11/2012 (that's this Thursday), then a 5% surcharge will apply.