The good news is yes. Most gaps can now be treated with clear removable retainers. Although it requires full time wear and good compliance, in most cases, you can now get the smile you wanted without braces. Aligners are easily cleaned and can also be used to whiten your teeth as well. Call your orthodontist to see if you are a good candidate.
If you are referring to a "gap" between the edge of your tooth and the aligner, than it is an indicator that the tooth is not "tracking". This can occur for a number of reasons.
The short answer is yes. However, there are some problems that are best treated with braces. It all depends on the surgical treatment plan because certain types of movements are less predictable with aligners. The use of TADS, or temporary anchorage devices can sometimes be used with aligners instead of braces for Orthognathic treatment.