So in a word: no. Retainers retain. Active movement requires something ELSE, but it may resemble a retainer.
Immediately after braces come off (or alternative methods are completed), retainers are to be worn as much as possible for a period of time, usually about 3 months. After that, one can usually go to night time use only (wear while sleeping). While teeth may shift a bit during the day and move back at night while wearing retainers, this movement is considered insignificant.
If I offered you a magic nightgown, one that if worn each night you would remain skinny, would you wear it? This is how a retainer is, you wear it at night to preserve the work that was done previously.
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