Am I a candidate for lateral incisor implants? I am 20 years old.

You can have dental implants, but it would require a great deal of time in braces again.  The orthodontist would open the spaces back, the. A surgeon could place implants.  Tough case, but can be done.  Consult with an orthodontist for specifics.  Good luck.  

It is possible to use maxillary expansion to widen the maxilla and move the canines back to their original positions and  then do implants. I would suggest either Rapid Maxillary Expansion with surgical assist or a DNA appliance to widen the arch orthopedically but you may need  braces or invisalign to finish canine movement.  There are ways to correct the look with veneers but expansion is best.

 The short answer is that you could do orthodontics, although at this age it wouldn't involve a palatal expander.It would take quite some time because she would have to move quite a few teeth to make enough space to place dental implants.It's hard to say based on the photos that are attached, but it appears as though your gums don't show when you smile. I mention this because another option is to reshape the canine  it's hard to say based on the photos that are attached, but it appears as though your gums don't show when you smile. I mention this because the gum line is typically considerably higher on a canine then it is on a lateral incisor.  If this is in fact the case, then  another option is to reshape the canines so that they appear to be lateral incisors.  This could be done simply by reshaping the canines, or if necessary, with porcelain veneers.