Yes, possibly. But there are caveats and conditions:
1. The weapon/item cannot have been restored previously by you or ANYONE ELSE. If you buy an OE weapon from AH or from player shop, automatically assume it's been restored. NCSoft Support will not tell you in advance if a weapon has been previously restored.
2. You need to have tokens available. As mentioned earlier, you get 2 restoration tokens every 6 months, which apply to basically anything that the GMs can restore for you, whether that's a weapon, or something like a 30 day talisman/rune that you opened by mistake.
3. You have to notify NCSupport right away. Don't delay, because they have a time period limitation that they enforce. If you wait too long to submit a ticket, they won't restore it.
4. Account must be in good standing. Obviously.
5. The biggest one, which some people seem to ignore for some reason: GMs reserve the right to refuse service. You can do everything right per policy, but the GMs can always say, "No." They carefully review all requests, but they don't have to provide detailed reasons as to why they are refusing service. This covers them in the event of ongoing actions needed to obviate abuse or ensure fair gameplay.
Good luck if you decide to enchant something. I recommend, though, that you don't waste a token on a low level enchant. Wait until you're in the +24 range at least. Make it count.
Edit: Forgot one.
6. If you break your weapon, hold onto the R crystals. The GMs will need those before they restore the weapon.