I have actually done this, and IT WORKED.
I had an extended flirtation with a gorgeous (married) woman, and things were slowly heading in the right direction, but staying calm and playing it cool were paramount. So on a day when she asked me to come into town to meet for a coffee in the afternoon I headed straight in-- but not without writing down a few escorts phone numbers first.
Things went really well at lunch-- so well that we planned to meet for dinner that same evening.
I really felt myself developing strong feelings for her, but knew I had to play it really cool and not make a move too early lest I totally ruin my chances. So I went and saw an escort after our coffee and before our dinner, and I can tell you, i was 'in the zone' that night, and I honestly think it was because I stayed cool and calm at that dinner. The next week after that we had our first kiss. She was my girlfriend for 3 1/2 years after that.
So I say YES, this strategy WORKS!