I don't think there should be any issue on this, because they are two different coins, different wallets, different staking systems and so on, so it doesn't matter if you are doing so with same internet network, what matters is that you set it up well and accordingly as stated by the team. Also, make sure you understand the needed process so that you don't use the method of one over the other and experience issues. Lastly, make sure the coin is worth staking because many projects which have staking systems or features only uses it as a leverage to attract more users and nothing more, hence the reason why the staking rewards becomes worthless with time and the project lossing its value as well.