Yes. SolarView licensing is not device based, but rather it is based on your unique SolarEdge inverter installation. This means you can run the SolarView app on as many computers or mobile devices as you wish (subject to the technical limitation discussed below).
Feel free to skip the following if you do not have an interest in a technical explanation.
Technical limitation: Although SolarView licensing does not limit the number of devices where you can run the software, there are certain limitations imposed by SolarEdge. These scenarios are very unlikely to be an issue but are mentioned for the sake of completeness. In particular, SolarEdge limits the quantity of data requests being issued from a single network address in a single 24-hour period. This network address would be the address of the modem on your network and so it will be shared by all computers on that network.
In practice this limitation should never be a problem because even if you are running multiple copies of SolarView they are most likely running on different networks (e.g., one on your home network and another on your laptop connected to an office network or hotel network, and so on). Under certain circumstances (e.g., if your home and network were located at the North Pole and there were 24 hours of daylight) you would hit this limitation if you were running more than three copies of SolarView on the same network. You might also run into the limitation if you close and reopen SolarView many times, or run many reports.
The impact of this limitation is that you might see “Unknown” in the SolarView status bar and you might see communication errors displayed, or a message such as “Too Many Requests”. In such a case you can wait a few hours for SolarEdge to reset its counter.