The answer is yes and yes. It will be a three conducter cable, I assume IEC plug on one end and standard 3 prong UK plug on the other, so the wiring itself works. Secondly, yes, you can use a plug converter, widely available to go from UK to Schuko configuration. I lived in the UK and traveled to Turkey so it was never a problem using a plug converter. However, my take is that this defeats some of the purpose of a nice power cable by adding an additional set of voltage contacts.
As the previous poster notes, it's worth finding a hospital grade Schuko plug to replace the 3 pronged UK plug. Here's a look at one. Just know how to wire it correctly or have an electrician do it, even in Turkish lira, it will be cheap.
http://www.interpower.com/ic/scripts/wsisa.dll/WService=ic/p80form.p?w_part=88010801
All of the new 3 pronged plugs in the UK are fused although not all of the older wiring set ups using a 2 pronged plug had the fuse. The fuses are a nice feature although I'm sure there are arguments that they have a negative effect on the power. I'm sure your equipment is protected with either a fuse or a relay so it is not a problem for your use.
