i doubt it.....but you might trying using some super glue or something...... but i would think you could throw that one away and go get a new stylish one.....
i saw a vinyl repair kit a sears last time i was there. it has a thing that you can make the repair textured like factory. you might want to paint it, the color might not match due to fading. in fact it might be an opportunity for something custom.
Check at your local dealership, they usually have someone who comes in and fixed cracked dashes for them. I've seen some of the work that the guy has done around here and it looks pretty good.