You can use the token system of Limesurvey. You either create tokens and use them as ticketID or you use the ticketID as token. In any way, you need to create tokens before you can send the survey.
So if tokens are used for the survey, LS checks if the token exists (if there is no token you won't be able to participate in the survey) and if the token exists, it checks how many "uses" are left. Default is 1 use per token, but you could increase this. In your case 1 use would be the correct number and once someone accessed the survey with a specific token and completed it the uses left go down to 0, which means you can't use this token link anymore.
Now you just need to find a way to create the tokens correctly (probably the easiest way is to create the tokens based on the ticket). You might be able to do this via the LS API. But I am no expert on this.
Help us to help you!
Provide your LS version and where it is installed (own server, uni/employer, SaaS hosting, etc.).
Always provide a LSS file (not LSQ or LSG).
Note: I answer at this forum in my spare time, I'm not a LimeSurvey GmbH employee.