Can I play a .ts (transport stream) file in html5 player

This standard for the container format is more oriented to digital television: http://en.wikipedia.org/wiki/MPEG_transport_stream[^].
Besides, it has been extended to M2TS and TOD.

So, first of all, I would advise you to transcode the streams and container, all you media content, into one of more acceptable formats suitable for HTML5. Please see:
http://en.wikipedia.org/wiki/HTML5_video[^],
http://en.wikipedia.org/wiki/HTML5_audio[^],
http://en.wikipedia.org/wiki/HTML5_video#Supported_video_formats[^],
http://en.wikipedia.org/wiki/HTML5_audio#Supported_audio_codecs[^].

Nevertheless, this simple Web search shows that the MTS still can be used with HTML, and HTML5 in particular, but probably by using some 3rd-party products: http://lmgtfy.com/?q=%22.ts%22+file+HTML5[^].

I would probably tried to avoid it, but you decide.

—SA