Learn Swedish: Funkar det för dig imorgon? - Does that work for you tomorrow?

Funkar is the very common, everyday spoken version of fungerar (to function or to work). It is perfectly fine to use in casual writing like text messages to friends, but you should stick to fungerar for formal texts like professional emails.

Can I use jobbar instead of funkar here since they both translate to work?

No, you have to use funkar (or fungerar) when talking about a plan, a machine, or a schedule working out. You only use jobbar or arbetar when talking about a person actively doing a job.

Is it better to write imorgon as one word or two words (i morgon)?

Both spellings are correct and you will see both all the time. The Swedish Language Council officially recommends writing it as two words (i morgon), but writing it as a single word is completely accepted in everyday use.

Are there any other common ways to ask someone if a time works for them?

Yes! Another extremely common and natural way to ask this is Passar det dig imorgon? which literally means Does it suit you tomorrow? Both phrases are used interchangeably when making plans.