No, the tools are too limited.
You have only 5 filter options available:
- the mana gem cost: 0, 1, 2, 3, 4, 5, 6 or 7+
- the search box (finds all cards with the word, so "murloc" finds Hungry Crab)
- the set (more on this later)
- Show Only Golden Cards
- Include Soulbound Cards (shows more cards)
If you want to find cards you can craft which you are not yet able to play, you need to do the following:
- Set filters to: all mana gems, empty search box, Expert Set, do not Show Only Golden Cards, do not Include Soulbound Cards.
- examine each card. If you have 0, the card will appear blue. If you have 1, there will not be a x2 tag. There should be a x2 tag on all the non-golden cards unless (a) the card is legendary (you only get one) or (b) you have additional gold versions of the card bringing you to 2 total.
- Change filter to Promo Set
- repeat step 2
There is no need to check the Basic Set, Reward Set or the Naxxramas Set as all non-golden cards in these sets are Soulbound (cannot be crafted). Do check the Include Soulbound Cards filter if you are examining these sets.