No. Attempting to close a teeth gap - also known as a dyastema - with a rubber band may lead to a temporary fix, but could also cause many eventual dental problems.
The best and safest way to close an unwanted gap in between teeth is to get braces, which are often covered by insurance. Trying to close a gap with a rubber band - even bands which are sold on websites for the sole purpose of closing teeth gaps - can actually lead to loose teeth. In addition, sometimes gaps that are present during the teenage years can close themselves by the time of adulthood.