Can I earn rare summoner Icons from Hextech Crafting?

Can you recieve rare icons from Hextech Crafting such as:

1. Event Icons http://vignette2.wikia.nocookie.net/leagueoflegends/images/1/10/ProfileIcon_Frostguard.png/revision/latest?cb=20130728183254 http://vignette2.wikia.nocookie.net/leagueoflegends/images/1/1c/ProfileIcon_Avarosan.png/revision/latest?cb=20130728183037 http://vignette1.wikia.nocookie.net/leagueoflegends/images/6/6a/ProfileIcon_Perfect_Ascension.jpg/revision/latest?cb=20140910175314 http://vignette2.wikia.nocookie.net/leagueoflegends/images/0/06/Marksman_icon.jpg/revision/latest?cb=20140607013149

2. Esports icons from years ago http://vignette3.wikia.nocookie.net/leagueoflegends/images/1/19/ProfileIcon_LMQ.jpg/revision/latest?cb=20140618222225

3. Icons not sold in the store anymore http://vignette4.wikia.nocookie.net/leagueoflegends/images/2/23/ProfileIcon783_OrbitalLaser.png/revision/latest?cb=20150305102110

4. icons bundled with ultimate skins http://vignette3.wikia.nocookie.net/leagueoflegends/images/d/d6/ProfileIcon30.jpg/revision/latest?cb=20121218022542

Off topic, I found these icons on the wiki. They're pretty awesome. http://vignette2.wikia.nocookie.net/leagueoflegends/images/3/39/Profile_Icon_Tencent_07.jpg/revision/latest?cb=20131231012220