The supported CPU's list says no. http://www1.biostar.com.tw/app/en-us/mb/introduction.php?S_ID=599#cpu
That really doesn't surprise me, considering it's a low end board (even for H61). Most of the boards that I've seen that support the Xeon's are higher end models (like the Asus P8H61-M for example, but even it
doesn't support the E3-1220L V2, just the 1230, 1230 V2, and 1245 V2).
Also, just taking a quick glance at a high dollar board like the P8Z77-V Deluxe shows that it
doesn't even support the 1220L V2, just the normal 1220 V2 (along with others).