Yes.  The Oracle didn't give a description of the person Trinity would fall in love with.  Trinity loved Neo when he was still a redpill, and before knowing what he would eventually become.  

As The Oracle says:

"Being the one is like being in love.  No one can tell you you're in love, you just know it..." 

its a simular question posed by the oracle to neo

oracle:"dont worry about the vase"

Neo: "what vase"

*crash*

oracle: "would you have still broke it if i had'nt said anything?"

If the Oracle never said to Trinity that she would fall in love with The One, would she have?

She wasn't necessarily the cause for breaking the vase, just like she isn't necessarily the cause for Trinity falling in love with Neo.

He could have moved the same way he did when he knocked the vase over doing anything.

The answer is simple "We don't know"

It's precognitive pardox and is impossible to come to a definitive answer