It is possible to play games which just use verbal descriptors rather than numerical ones. Such games tend to be more abstract and suit a modern and or roleplay intensive (ie Soap Opera) type game. Also it will probably need something like 'Action Points' to do stuff not covered by the descriptors
So lets assume we want to play the DnD Soap Opera Game
Jack is a Highly Charismatic, Athletic rogue of average intelligence
He takes skills (6 points): Diplomacy 3 ranks, Bluff 2 Ranks, Climb 1 Rank
Being athletic he takes a Martial Arts feat giving him BAb +2 and AC +2
He also has 5 Action Points
Michelle is an Attractive, motivated, intelligent Aristocrat, Skills Diplomacy 4, Sense Motive 2 Feat:Beguiling Beauty (+2 Diplomacy and Bluff vs members of the opposite sex) she has no combat ability and thus BAb -4. She has 5 Action points
Jack and Michele meet in a bar and Jack tries to pick her up using his Diplomacy (roll D20+3) to which Michelle counters with Diplomacy D20+6). Anyway Jack being highly charismatic is allowed to add an Acton point to increase his roll by d6 - he now has 4 Action points left
On the way home they are in an accident and Michelle gets trapped in an overturned cart. She attempts to lift it off herself, which the DM declares (based on rules in the Soap DMG) is DC 20 (she rolls a 9 and decides to spend 2 action points for a +2d6 bonus) - she now has 3 action points left
Of course if Jack, being athletic, had of tried to lift the cart the DC may have been 15 or even 10 if the DM is feeling generous
Anyway - it might work in the right circumstances