Is it necessary to finish a charge in the space in which you hit?

[BrunBrunBrunBruno]

Can I move after attacking in a charge with the movement that I have left?
the rules state tha you can move up to twice your speed and must move AFTER the Attack and at least 10ft, but Charge is a Full round action, not a doble move action followed by a standart action, so, assuming you don't use all your movement, you should be able to continue your movement in a straight line after the attack

[Syries]

No. It's the first line of the 'movement during a charge' rules. You must move before your attack, not after.

For the record, the Ride-By Attack feat allows you to do exactly what you describe with the caveat that you have to charge while mounted.

[Claxon]

In order to break up movement and have an attack "in the middle" of moving it requires something like Spring Attack. As far as I know, there isn't an ability that does it for charge (please not Spring Attack and Charge are both full actions and cannot be combined).

Ride By Attack is thematically close, but requires a mount so I wouldn't include it.

In short, no you definitely can't do it with the base rules. There might be a feat that might let you do something like what you want.

[Melkiador]

My mounted familiar build could maybe do it with Ride By Attack. But that's a gag build.

[LordKailas]

Flyby attack would let you do it... provided you have some way to charge as a standard action instead of a full round action and provided that you have a fly speed to qualify for the feat.

[SunKing]

You gotta stop in the square you strike your opponent in.

As my astute PFS GM has recently reminded me, you MUST stop in the square where you are first able to strike the opponent. You can’t keep moving to a ‘more optimum’ square, and if your route to the closest square is blocked or hindered by difficult terrain, you can’t charge...