While there is no technical limitation to reviewing when you cannot take the entire range of possible actions, I think that it is not within the spirit of the review queues to review when you can't take action.
Often, the right action is to up/downvote a question, or vote to close. If you cannot takes one of those actions, but those actions are possible for clearing a review item, then you will sometimes (often?) be unable to take the correct action with respect to review items. Your options are either to perform the wrong action, or to skip the review item. If you consistently do either of these things, you might end up banned from reviewing.
The system imposes limits on users (in part) to prevent any one user from having too much influence over the site. Hitting your daily limit is the site's way of saying "Okay, let someone else have a turn now." Continuing to take action in the review queues could be seen as a way of circumventing this kind of rate limiting.
You currently don't have enough reputation to participate in all of the review queues. Once you get enough reputation to interact with the "Close Votes" review queue, you might notice that it is perpetually over 300 items long. By contrast, the queues in which you can participate with only up/downvotes are typically pretty short, and get handled quickly by the community. These queues don't need your input, and so if you can't completely participate, it is best to let someone else take a turn.
In short, while a desire to participate and help maintain the site is admirable, if you can't fully participate (e.g. if you have used all of your up/downvotes, or close votes, or daily edits), then please do not take on review tasks. Wait a few hours until you are again able to take any appropriate action.