Triphenylphosphine vs. trimethylphosphine in reduction reactions
Yes it can. It also has the advantage that the trimethyl phosphine oxide produced is water soluble and thus easier to remove from a reaction mixture than triphenylphosphine oxide which is notoriously difficult to get rid of. I have used it for a Staudinger reduction of an alkyl azide when triphenyl phosphine was unreactive.

However, trimethyl phosphine is more expensive, pyrophoric, has an unpleasant odour and is toxic requiring full personal protective equipment. Safety data here: https://www.alfa.com/en/content/msds/english/30143.pdf