Anyone know the name of this displays?
You have five '7-Segment' displays. Each of the displays has seven LEDs or groups of LEDs (maybe one or two more for the decimal point). These LEDs may have all of their cathodes tied together and have individual anode connections, or vice-versa. Most likely the five displays are multiplexed.
Where can I find something like this?
Now you know what to look for so try a search.
Where you live would be a consideration, that's why your profile has an entry for your 'location'.
Is it possible to control this with arduino?
Absolutely. You might want to look through the 'LEDs and Multiplexing' section of the forum. It's a toss-up as to which section is more appropriate.
Don