Yes, it's possible. All you need to do is recall BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction) rule in mathematics that we learned in school.
Obviously, answer TTT is product of T x 111 = T x 3 x 37.
So YE/ME = 37 and T x 3. Either way, E = 7. And other number T x 3 is a 2-digit number with 7 at it's unit's place. So that has to be 9 x 3 = 27. Therefore, YE (or ME ) = 37 and ME (or YE) = 27 Hence, E + M + T + Y = 7 + 3 + 9 + 2 = 27.