not really.

An event here consists of the values of a pair of dice, i.e. an ordered pair (x,y).

So your sample space, the set of all possible events, is all the possible ordered pairs.

(1,1), (1,2) .. (1,6)

(2,1), (2,2) .. (2,6)

.

.

(6,1), (6,2) .. (6,6)

or by rule

$\{(x,y)\}: x,y \in \{1,2,3,4,5,6\}$