Well it would work if you spread it out over 10 weeks...
How? The acceleration would be non-linear (you'd have to start several hundred AUs from the star where there's only very minimal rad pressure), increasing exponentially as you get closer, it'd feel like hitting a g-wall anyway. And there's the matter of shooting through the solar system before managing to slow down.
My solution would be to start very (seriously) far away with a variable-size sail, so I could manage a constant deceleration throughout the whole maneuver. In theory, that is. A sail able to resize itself exponentially (I'm saying thousands of kms) AND being light enough for the pressure to have any effect at all... I just don't see it.
Maybe start with a really, really big sail and then shed parts of it as the pressure increases?