If you are resident in the UK and have been for atleast the last 6 months, then yes a normal travel insurance will be ok, if you just want basic cover including medical expenses.

BUT have a think about what your concerns are about the cover you think you will need and ask questions. I would never suggest that you arrange cover online where you have questions that you need answering. As I see it, if you really want to cover as many risks as possible, then you will have to pay a bit more for cover. Some Insurers offer an 'independent travellers' option for non packaged trips, which offers more cover for parts of a trip you have not be able to use, because of a claimable event occuring.

It is worth phoning companies such as direct-travel.co.uk , world-first.co.uk or PJ Hayman to find out what cover is available and to then compare what they are able to offer with competitors.