I'd actually say no. Throughout seasons 1 through 3, it's established that the other end of the wormhole isn't in the Dominion's formally controlled territory. The first time the dominion was mentioned was in season 2, in "Rules of Acquisition". That was in season 2. The second time was "Sanctuary", also in season 2. The next time was "Shadowplay".
In "Rules of Acquisition", the Ferengi's knowledge of the Dominion was shaky at best. Additionally, Zek stated that he didn't care about the Dosi, who they were contacting, and they were merely a stepping stone for other Gamma quadrant markets. This is later verified by their contract shown in "The Search, part 1" with their agreement with the Karemma. If the Dosi are a foothold in the dominion economically, rather than critical themselves, this suggests that they're on the outer edge of the Dominion, which is a multi-hour high-warp flight from the wormhole.
In "Sanctuary", the dominion is mentioned exactly once. The Skrreea leader states that their people were first conquered by one race, who were in chain conquered by the dominion. From there, the Skrreea fanned out looking for the eye of the universe, hoping for a new home. The Skrreea only found the wormhole after a massive fan-out operation, with only one vessel finding it initially. "They later contacted the other ships in their fleet." This suggests the dominion's border is fairly far away from the wormhole.
The most interesting matter is in Shadowplay. The guy who founded the holographic colony was from a planet the Dominion took over. However, there's no other mentioning of the dominion in that episode aside from that. This suggests that the Dominion hasn't reached the colony yet, because it hasn't been obviously conquered. This suggests that the colony was beyond the Dominion's border.
None of these planets were within a short distance of the wormhole. On each case, it was a long multi-hour journey at high warp. This suggests that the wormhole wasn't within Dominion territory, but rather fairly far away from their border. Therefore, the Federation's usage of the wormhole wasn't a violation of their borders. This is the Star Trek equivalent of Brazil seeing merchant vessels use the Panama Canal, and calling it "an invasion". So overall, the federation shouldn't apologized for the usage of the wormhole.