Yes, if the drainage is good, and the plants are planted at the correct depth (graft union should be 2-3 inches above the ground. Cherries do better in slightly acidic soil, and I would advise making about 1/3 of the soil material sphagnum peat moss. A year after planting, you can purchase a soil test kit to confirm that the soil conditions match what's necessary for the cherries. Don't add any amendments into the planting hole. Two weeks, later you can add 1/2 lb of 10:10:10 around the base of the tree and irrigate. 

Hopefully, the trees you've ordered are on a dwarf rootstock. A standard rootstock that grows 15+ feet might be challenging to support in the long-term. 

Growing cherries also involves annual pest management considerations if you want the fruit. Purdue University has a good guide of how to protect cherries (classified as stone fruits) from pests and diseases.

My concern about the Bing is less about the soil and more about the total space required. Standard cherry trees need 20-24 feet spacing between trees. Depending on the size of the raised bed, it will get crowded. Cherries are pruned annually regardless of dwarf or standard size. Trying to prune a standard cherry to remain small will restrict yield in the long-term.

I would first recommend checking the pH of the soil with pH strips or an electronic meter. If the pH is between 6.0 - 7.0, you can leave as is. If it's much above 7.0 and you planted in the last 1-2 weeks, providing a soil type such as peat moss (that is slightly acidic) will be better in the long-term. Alternatively, adding elemental sulfur or ammonium sulfate can lower the pH.