Yes, but only if you use the question by question mode.
If you use the group by group mode, there is no way for LS to terminate how much of the time on the page have been spent on each question on this page.
LS saves (if you set this when activating the survey) the times between each "submit". Whenever the respondents clicks the "next" or "submit" button in the survey.
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.