No, mate. They are wearing 37 pattern webbing (the 37 referring to the year 1937). That means they are for late 1930s and World War Two only. The special weapons are too late for your period too (apart from the Lewis Gun). In addition, they are wearing British Army style uniforms including shorts, which also firmly places them in the 1930s onwards.
Sikhs were involved in the 1902/1903 campaign against the "Mad Mullah." For that campaign you would want to use Victorian Sikhs with Martini-Henrys, such as the Foundry Darkest Africa ones. I don't think Sikh troops were involved in the later campaigns (though I'm not 100% certain).
So, to sum up and answer your original question, I think World War Two is probably your only historical option. There were columns sent against the followers of Mirza Ali Khan, the Faqir of Ipi, on the Northwest Frontier in 1936-1937, but I'm doubtful whether they would have had the 1937 kit yet. A colour plate from an Osprey shows an Indian army Bren-gunner in shorts and a woolly jumper, but still wearing the 1908 webbing at this time. However, the campaigning continued against the Faqir during the war (he was supported by the Germans and Italians) and so you could probably use the figures for this (though I don't have details of the units deployed, so don't know if Sikhs were involved).