TMI please help

Is it possible to still be on your period and get a high lh surge. I have tested and I use the Clearblue Advanced digital ovulation tests well at first I got 2 low and now I got 3 high blinking smiley faces. I have been on my period since December 27 and still am I got 3 blinking smiley faces so is it possible to still get blinking smiley faces while on period. If so should I test 2 times a day? Please help dh and have been ttc for 6 months