This has been discussed numerous times on this forum. The answer is no. The bbq grill connection is already regulated to a low pressure - typically 7-10 psi. Your campstove tank adapter has its own regulator to utilize the high pressure of the 1 pound tanks.
Campstoves generally need a higher pressure than the 7-10. The only solution would be to run a high pressure line directly off the TT tanks back to where you need it, and then adapt that to your campstove regulator. I'm not sure running a high pressure line that far is such a great idea.
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2013 Roo 183
2012: 1042 Miles, 13 Nights camped
2013: 2772 Miles, 27 Nights camped
2014: 2259 Miles, 30 Nights camped
2015: 1644 Miles, 20 Nights camped
2016: 550 Miles, 11 Nights camped