Yes, Slifer and any other Egyptian God card can be destroyed by trap cards. More specifically, traps that don't target, like "Mirror Force", and traps that negate effects and destroy, like "Divine Wrath".
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According to the effects of Slifer the Sky Dragon given in Yu-Gi-Oh! 5D's World Championship 2010: Reverse of Arcadia, Bottomless Trap Hole may not be activated when it is Tribute Summoned onto the field. It clearly states that "...when this card is Normal Summoned, the effects of Spell, Trap, and Effect Monster Cards cannot be activated..."Slifer the Sky Dragon can be destroyed afterwards by cards that do not target it, such as Mirror Force, or Widespread Ruin.
The current game-legal text for Slifer the Sky Dragon says "When Normal Summoned, cards or effects cannot be activated" This prevents the activation of Bottomless Trap Hole in response to Slifer's Normal summon. However this is only for Normal Summon. Slifer can be Special Summoned, and if Special Summoned, then his continuous effect will apply as normal, before cards that respond to summons can be activated. That means if he is special summoned, and his ATK goes to 2000, the summon can be responded to by Bottomless Trap Hole, he will be destroyed and removed.
Slifer's only protection is that spell, trap or monster effects cannot be used in response to his summon, meaning he is safe from cards that specifically respond to summons, such as Torrential Tribute. After that, targeted traps can be freely used against him.
Raigeki Break is a Normal Trap Card. "Discard one card to destroy one card on the field."
Only those that specifically say they destroy a card(s) on the field. Stardust can negate cards such as Mirror Force, Heavy Storm, Bottomless Trap Hole, Crush Card Virus (if it would destroy at least one monster), Mystical Space Typhoon, .... It can't negate cards such as Giant Trunade, Compulsory Evacuation Device, Dimensional Prison, D.D. Assailant, Reinforcements of the Army, ...