This question is a bit tricky. Are we talking about the BTC price vs fall in price of alts in sats or BTC price vs fall in price of alts in USD
If we are talking in USD value, it's possible but rarely happens.

This is Bitcoin is the most commonly used base for most trading pairs against alts. So any increase in the BTC price in USD value means an increase in the price of each sat.
So when bitcoin price moves, altcoin prices move in the same direction