You're talking about passive crossovers from component speakers, yes? If so, then it's possible, but not advisable, unless you're also using the same woofers and tweeters that came with those crossovers. While using a specific crossover with a completely different set of drivers can work, the chance of it sounding as good as a crossover designed specifically for your drivers is extremely slim. And there's a rather large chance that it could sound downright bad.
If you're talking about active electronic crossovers, that has a better chance of working well. However, the complexity and cost needed to setup such a system properly precludes it's use for satellite speakers in almost all home situations.