No
When you form your Action dice, it is unbounded. However, the Take the Declared Action option for Step 2: Resolving Actions (MAG p 179-180) does not make any allowance for creating a particularly large Pool from said dice (emphasis from source).
In this case the player forms a pool for the declared action from his or her
available Action Dice. Like any other pool, this one must fall between 2 and 10
dice (see page 140).
Even if the player has 10 or less Action Dice he or she may still want to
hold some back, as any dice left after forming a pool are used to defend against
incoming attacks. Especially when facing several hostile declared actions, it can
be extremely helpful to withhold Action Dice for defense rather than go with the
bigger pool to get something done.
Action Dice remaining after forming a pool become Defense Dice and are
moved to that area on the character sheet.
Not only does this specify that the Die pool is bound by the normal rules, it also notes "Even if the player has 10 or less Action Dice..." heavily implying that having more than 10 dice forces said player to maintain a Defense Dice pool.