|I don't think so.|
Mostly, the short-circuit protection of the PSU will be activated.
Therefore, you should switch off the computer, disconnect the power cable and wait for at least 2 to 3 minutes.
Make sure, that the 4 pin fan is wired correctly.
In doubt, disconnect the fan, if it's an additional fan to cool down your system.
Reconnect the power cable and switch on the computer.