Yes, I believe that Britain will be able to negotiate a deal that keeps it close to the EU after Brexit. This does not mean that Britain will be able to negotiate a good deal for itself. The country does have so negotiating power but not as much as it needs.
Great Britain has been in existence for thousands of years. It wasn't that long ago that the sun never set on the British Empire. Therefore, Britain absolutely has the capacity to negotiate treatise and agreements with foreign nations. This idea that the British don't know how to negotiate is rediculous.
Even though Britain is no longer a part of the EU, still needs the European Union for economic reasons such as import/export of goods and services, laborer issues, and because Britain is a part of a globalized world that can not live alone. I will take a lot of negotiations but at the end an agreement will come through.
The rest of the European Union was very offended when Brexit actually passed. They talked about kicking Britain out of the EU early. There's not much room to negotiate when other countries have hurt feelings. Besides, the people of the United Kingdom spoke and they want out of the agreement.