Maybe. According to Nvidia the minimum power for a system with an i7 is 600watts. MSI also recommends a minimum of 600W With at least 42amps on the 12v rail.
https://forum-en.msi.com/faq/article/power-requirements-for-graphics-cards
If you already have the PSU, take a look at the label on the side and it should tell you how much continuous power each of the major rails can produce, both in watts and amperes. It is the amps that become important.
Additionally, the PSU needs at least one 6 pin and one 8 pin (or a 6+2pin) PCIe power connectors. It is not advisable to use adapters to obtain this configuration.
If you have not yet purchased a PSU, take a look at this article:
http://www.tomshardware.com/forum/id-2547993/psu-tier-list.html...