Yes, all participants within the majority of tournament options will be provided with the same starting hand/board layout/cards and will have equal opportunities to solve the game (if board is solvable). Larger tournaments such as Fixed Prize Unlimited Entry tournaments (like "Daily Delights") may have different starting hand/board layouts/cards but will be of similar scoring potential as determined by the internal matching system.
The internal matching system that is in place was designed to ensure that the game conditions are similar for all players that participate in the same tournament instance.
If a player enters the same tournament multiple times then they will receive a "hand"/board/layout of similar scoring potential.