Is there a way where the participant can save a survey for later and start a new one using token and not the email and password feature?

Enable token persistence.
They will be able to return useing the same link from their invitation.

thank you for your reply.
My request is to let the participant save multiple session at the same time via the token and not the name and password.

for instance if he was interviewing you and for any reason you requested him to go and come back he should be able to go back at the same time complete different interviews.

This is not possible using the token alone. There would be no way for the system know which response set to access?

Yes, you need plugin for example:
gitlab.com/SondagesPro/managament/responseListAndManage#usage

Why is this plugin not part of a repository of thirdparty plugins shipped with the default LimeSurvey installation?
A few screenshots would raise awareness that this plugin is for respondents too
The first impression is that it is a backend only plugin.

You 100% right it so much different than the thing I want.

I guess trying to regenerate the link of the survey using the srid in the saved control table and the token would solve my issue but I dnt think it is possible. Is it??