According to Art. 329 (3) CO the employer
"must allow the employee the customary hours and days off work." (
http://www.admin.ch/ch/e/rs/220/a329.html).
However, the employee is only entitled if the normal free time (after work, weekends) are insufficient. So if you can move on the weekend, you would have to do it then.
However, Art. 329 (3) CO only says that you are entitled to time of work. Whether or not you get paid depends on what the employment contract says, any collective bargaining agreement says (GAV or NAV), or what is customary. The latter depends on what is customary in the company, in the same region, and line of business.
So the answer is: maybe :-)