No. The Earth is in an orbit that has been stable for over 4 billion years and there is no sign that it will not continue its predictable orbits for at least the next 5 billion years .By that time the Sun will begin to enter its red giant phase and, rather than the Earth falling into the Sun, the Sun will expand out to meet the Earth, and probably begin to evaporate it into a puff of silicate and iron 'smoke' by a billion years after that!