No. You need to create your header from the wordpress page in the headers and footers of the Limesurvey template. Limesurvey will not work within your wordpress page. Either you use an iframe within wordpress para show your survey within the wordpress page or you try to recreate the design of your wordpress page within the limesurvey template.
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.