I recently inherited a veg plot with asparagus in the wrong place too. In my case it's too near the middle of the plot, so that when it grows up high, it obscures the plants beyond it from view. I was considering starting a new bed in a different position. As Pippa says, it takes a while to establish, but maybe you could continue to harvest from your old plants for the first years?
You can definitely move asparagus, just dig it up with as many roots you can in autumn and replant. I've moved house with it. I did leave it a year or 2 to establish before harvesting.
I have/had 2 rows of asparagus plants in a bed purpose made. The plants I grew from seeds and have tended them lovingly for their entire little lives (5 yrs old). Last year was a bit disasterous with the weather, so the spears were very thin. This year i'm so piddled off, A mole has dug a tunnel along both rows. No signs of life at all. If I catch the little [email protected]@er, he'll be pinned against a wall and tortured.