I think no, Once you stake your crypto, It will be on other custody and they will have a control with it. That's what I understand about staking. I had once tried staking and I'm on loss after it. The token I staked was dumped so hard that I lost majority of the value that I stake on that platform. To be honest I was blind by the APY that time that's why I rushed in staking my coins not knowing that it is a locked stacking. I was pretty ignorant at that time and I didn't do any research at all. After that I haven't tried any staking up to now. There are people who can get massive profits from staking their cryptocurrency but I think it needs a massive research especially on the kind of token you are staking.
Depends on where you are staking, there are decentralized staking around as well, and if you are doing that then you are not losing your money. Sure the income may not come anymore and that is a possibility, but the main money that you put will always be protected with the decentralized ones and that should be considered a benefit.
For example if you end up with something like pancakeswap, using cake to stake will not be lost, you could put it on staking and even at the worst case the whole system crashes, you will be able to withdraw your cake as it is, and that won't be an issue, the only issue would be if it crashes there won't be any value obviously, but it won't be stolen and it is not at the hands of anyone else. So if you are worried, use decentralized ones.