Yes, but some elaboration is needed. A "purist" 1911 would be a 5" barreled single action, single-column-magazinepistol. Many refer to all the later chopped down, or even double-column-magazine single action variants as 1911's also. Since the basic mechanics and parts are about the same as the original, you can look at it either way. Unless you want to choose a side and spend hours in pointless debate on the matter.
Para Ordnance has a line of 'LDA' pistols that resemble (and share most all parts with) 1911s, but have a short, light double action trigger system. There were earlier aftermarket offerings that were similar. To me, those go beyond the fold of the 1911 design, but once againI won't have Internet donnybrooks or lose sleep over those who think the LDA's are1911s too.
Hope this helps...and I'm sure more info is forthcoming, stay tuned.