Definitely, you can have two different lines and two different xDSL services at the same properties. In fact, not so long ago, in order to increase speeds with SDSL products they used to offer for business/enterprise services bundled DSL lines. (Two/Four/Eight)
You need to request a new complete line, the one in use is not valid, and as someone said here be prepared to wait, as they need to do a site survey see if there is any copper free to get to your property.
The easiest way, in this case, would be to go for fiber. If you've got Virgin already at your cabinet/district, it's much more convenient and you don't need to order a separate telephone line. Also, it would be much faster and you could avoid potential crosstalk and noise issues.
I'd give a shot to Virgin if I were you.