Right now, crypto currencies utilizations are quiet too low. And bitcoin is the leading of all cryupto currencies, being also the first decentralized coin. All altcoins will continue to become dependent by bitcoin price movements until a big percentage of the world starts using crypto currencies.
That is correct and indicative of the budding growth of crypto currencies. The mere fact that the whole space is still nascent means it is actually genrally bullish to invest in coins. Can altcoins do it alone? Not today, but someday when there is actual and real demand.
If you are talking about personally and when that altcoin has a very good fundamental and that means if that altcoin can even do alone. Remember what already aimed by so many altcoins to stand without depends on bitcoin as the main crypto that determine where the market will be going on.