No Floyd... unless it came stock. You'll have to do a good bit more rerouting, and It'll completely change the tone and resonance of the guitar. If you must modify something in the bridge, I would be inclined to contact Callaham Guitars and order a Bridge block upgrade kit for that strat. Even though the block weighs a LOT, and it costs a good deal of money, the general consensus on this, and other, forums is that the block adds a musical quality to the strat increasing its sustain and resonance. Realize that the stock block in the MIMs, and even the USA lines are made like hamburger meat. They have steel, but they're also copper-infused... it makes the block heavy enough to work, but it does muffle out some of the overtones, the harmonics, and just the way the string is held isn't conducive. The callaham is like one BIG piece of high-quality steel that is rolled into the block shape... no cracks, no structural compromises, and because of the bushing that holds the bar in, you will not get the "i can wiggle the bar but the bridge won't move!" effect. There is ABSOLUTELY no play in the guitar. The bar only moves when you want to make vibrato (which is a very good thing).
What I would advise you to do, because the setup you have with a vintage trem SCREAMS awesome, is to go on Callaham's website www.callahamguitars.com, find the strat bridge system that works with a roadworn stratocaster, and purchase it. . (That guitar has to rank as one of the few relic strats I've seen that I find myself wanting.) Once it's properly installed (and there is a proper way to install a 6-point bridge to get more resonance), and it's set up and intonated and the bridge is radius'd, you're going to hear notes and sustain that you've never heard from a strat before. Considering that a Road Worn is about $900 to $1,000 at GC (so it's not a cheap MIM, but very close to the AmSe pricewise), it's worth the nice goodies, and to me the callaham screams "awesome improvement".
Otherwise, you've got one of the nicest looking Strats I've ever seen, done modding to taste (which is something Leo would approve... being the tinkerer he was) all it needs is that better bridge block and that'll really kick up the sustain / resonance a notch or two.
From an owner of a callaham block
Bridge Technology: http://www.callahamguitars.com/bridges.htm
The Bridges themselves http://www.callahamguitars.com/partsstr.htm (and go down to Vintage Model Strat / S Bridge Assembly).