It's possible. "To be considered for transfer admission, a candidate needs to have completed at least one year of college study by the time he or she plans to enroll at Tufts."
However, transfer applications are only accepted for the Fall semester, and they are due in March. Therefore, you will only have one full semester completed by the time you need to apply.
Again, you are -eligible- for admissions (Tufts requires you to have two full semesters completed before you -enroll-, not before you -apply-). However, one semester in college is not enough for them to ignore your high school transcripts and SAT scores in favor of your college grades. Very little will have changed, therefore, between your high school record and your college record. If your application was rejected straight out of high school, chances are you'll be rejected again.
Also consider that private universities like Tufts don't save spots for transfer students. They only have openings for transfers to the extent that people drop out (and perhaps not even then, if the initial freshman class was larger than expected).
So, the answer is "not impossible, but not likely." If your high school GPA, class rank and SAT scores were towards the top of Tuft's admission range, and you get straight As in community college, you've got a decent shot, but only if there are many transfer openings. If your high school stats weren't stellar, then wait until March of your sophomore year to apply for fall of Junior year admissions. You'd have a better chance, but still not a great one.
Also be aware that some of your community college classes may not be accepted for transfer credit, even if you are admitted. Unless there is an "articulation agreement" between the two institutions, acceptance or transfer credit it at the discretion of the college to which you are transferring.