Upvote:2
It is definitely possible to get a tourist visa for the UK if you meet the criteria.
You can look at the UK Home Office website about visitor visa and transit visa since you will need one or the other to enter the UK.
The status of C1/D visa from the US doesn't aware you an special status in receiving UK tourist visa, you do, however, qualify for transit without concession with a valid US visa but it only refers for air arrival and departure.
So is it possible: Yes. Will you have any preferential treatment because you hold a US visa: Nope.