Not the way it works, the two numbers (30V, 10A) are maximums, there may also sometimes be a power or VA product limit.
You can run the thing at up to 30V and up to 10A, so maximum current at 12V is 10A, just the same as the 30V case.
You might sometimes see (30V, 10A, 100w) in which case all three limits apply, at less then 10V, the limit is 10A, at less then 3.33A the limit is 30V, and between the two you have a straight line that respects the power limit
Interestingly you will often find relays rated for far more voltage in AC service then DC, this is because an AC arc will tend to quench when the current goes thru zero due to the AC supply, where a DC arc can last.
AC relays also have different ratings depending on the load, usually highest for resistive loads, and very much lower for inductive, tungsten lamps, florescent lighting or motor loads.
Regards, Dan.