Yes, read the enclosure manual carefully for two reasons.
1. USB2 provides limited power from one USB2 port, and that's why some such enclosures provide a cord with two USB connectors on the end, requiring both to be plugged in. USB3, however, provides much more power available, so only one connector is needed IF you actually are plugging it into a USB3 port. HOWEVER, if you're using the "backwards compatibility" feature that allows a USB3 device to work on a USB2 port, you still are limited by the port's power limit.
2. If you ever use it via the eSATA connection system, be aware that normal eSATA ports have NO power available on them. But there are then about three ways to deal with this. The enclosure may come with its own power brick. Or, you may use a USB connector to get power, while using the eSATA connection for data. Or, your enclosure MAY be designed to work with a non-standard recent variation of eSATA that DOES has power available on the port. Then you'd have to verify whether the eSATA port on your computer is this non-standard type that has power available.