Nope. You end up getting the quest from the grand company you are assigned - but you literally must have capped reputation on all 5 tribes. So nobody will be able to do this for likely a good 20-30 days (I say 20 days because the Ixial tribe has that delivery quest thrown in there which could really mix things up).

For those who haven't examined the new achievements - unlike the other 4 tribes, the Xial tribe has 7 ranks of reputation. So Don't think just because you got 95 reputation on day one that you'll hit max in no time.