Is the Burberry all the yellow check? Because if so, then no I wouldn't. It'd be too much to wear that print in the boots, scarf, and a tote. Then again I'm British so we have slightly distorted views of the traditional Burberry check.
I would only wear one piece with very visible/obvious logos, but that's just me. Subtler logos are OK, you can wear a few more of those perhaps.
My Burberry is the traditional check, BUT all black, so not at all visible that it's BB ... which is why I got it. I also don't like the traditional BB print.