No, but exposing the child to many languages every year will help them. What works in multilingual families is linking the languages to certain company (mother speaks 1, father speaks the second, nanny speaks the third, school speaks the fourth) OR linking them to times of the week.
The problem with your "one language per year" approach is that people can lose the ability to hear speechsound- distinctions that don't exist in the languages they do hear in the first few years of their lives. That is why some asians have problems with L/R, M/N, P/B, T/D, K/G and some anglos pronounce french ue like ou, or spanish J like H
Of course, you shouldn't try to teach a child a language if you don't speak it fluently yourself