No.
There is no mention of any surf glitches on the Bulbapedia page, except for the game crashing if you're surfing on a Wailmer and it evolves.
Link to ORAS glitch page
Even if you had a Pokemon with surf, the only way to travel through water in ORAS is with Surf as a Field Move, which needs the Balance Badge, the Fifth Badge, to work.
In certain games, Surf requires a specific badge to use outside of battle; the Soul Badge (RBY/FRLG), Fog Badge (GSC/HGSS), Balance Badge (RSE/ORAS), Relic Badge (DP/BDSP), Fen Badge (Pt), or Rumble Badge (XY).
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The Balance Badge is the fifth badge in Pokemon: Omega Ruby and Alpha Sapphire. This badge must be obtained from Gym Leader Norman, who uses Normal-type Pokemon.
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