I'm 27 yrs old and baby tooth is still there. Is it possible to keep the tooth?

Not likely to last much longer. You have bridge or implant options. Don't settle for a bridge option only. You may be best treated by a single tooth implant. Find an experienced implantologist since front teeth are visible and need the best esthetic result. Members of the American Academy of Implant Dentistry is a place to start your search. 

This is a great question.  If the tooth is actually infected than I would remove it.  However, if there is no infection, and you are happy with the esthetics or how it looks as is than I would leave it as is.  Be aware that it may become loose and fall out over time so have a plan prepared when and if this occurs.  Best of Luck!

I can certainly understand your concern about having a baby tooth removed as an adult.  Their longevity is always questionable and unpredictable.  Keeping it most likely will not impact your adjacent teeth, but if it is near the end of its useful life, better to plan for its loss before it becomes an emergency situation.