IMO, yes, it can, but it might a long time. Solana is built to have numerous use cases ranging from decentralized applications (dApps), decentralized finance (DeFi), NFTs as well as tradable in numerous exchanges. Though FTX exchange was a big supporter of Solana, Solana will experience fall in price but will pick up due to its numerous use cases that cuts across outside FTX space. People that hold Solana may sell due to panic, however, over time, with sensitization and good project promotion, Solana will recover in no distant time.
Solana can definitely rise again but this is not really the moment to try to outsmart the market and try such a risky move, this is the moment to play everything in a manner that is as safe as possible, so you either invest in bitcoin or keep your money in fiat waiting for the right opportunity to get back in the market, so investors which are interested in solana should give it time and let it reach its bottom, and once it does then they can finally begin to invest in solana once again if they want.
I'm not sure if Solana will be able to rise again but I can say with certainty that FTX crash didn't cause Solana to crash, FTX has a big effect on sol but they are still 2 separate individuals. Solana will continue to survive or will die is for them to decide, the bigger problem I see with solana is that their blockchain is really unstable and secure, the constant outages have caused many investors to lose faith in them.
I agree with you that this is not a good time to invest in sol or any altcoin, if you want to invest then just focus on bitcoin. The market is very risky at this time, we should stand outside and observe, not rush to invest.