I feel like I have heard "come spin to my place" being used in this meaning but I wasn't able to find similar sentences on the web.
"Have a spin" or "go out for a spin" is a rather old fashion way for "go on a short pleasure trip in/on a vehicle". For short visit (in addition to other good suggestions) perhaps "drop by"
I dropped by my uncle on Friday, and he took me for a spin in his new car.
I suppose "Spin by your place" (as suggested in comments) would fit, as suggesting that "I will stop briefly while taking a short trip in a vehicle"
pitstop - often used when travelling, particularly when stopping to get gas, use the restroom, or eat food.
We're running low on gas. Let's make a pitstop at the next exit.
From Google Dictionary:
- a stop in the pits for servicing and refueling, especially during a race.
- a brief rest, especially during a journey.
"layover", "stop over" - also common when travelling, especially when the stay is a bit longer or even overnight.
Let's stop over in Chicago and then head north in the morning.
Allen knows a lot of great places to stop over while we're biking through Europe.
The only flight left has a five-hour layover in New York.
"Layover" is a real word, but "stop over" is more of a regional phrase that means the same thing.
From Google Dictionary:
noun layover; plural noun layovers
- a period of rest or waiting before a further stage in a journey.
pop, drop, and stop can all be used interchangeably with "by", "in", and "off" when referring to a short visit, typically less than 2 hours.
I'll drop by the next time I'm in town.
I stopped by Jim's place on the way home.
Feel free to drop in any time! I just wanted to pop in and say hi.
Frank's been here four hours... I thought he said he was just going to pop by?
Don't even think about stopping off at the pub tonight!
"in and out" - common phrase when running errands.
Can we stop by the store on the way home? I'll just be in and out, I promise.
The perfect word (in my opinion) for a brief stay at a place is sojourn.
a short period when a person stays in a particular place:
My sojourn in the youth hostel was thankfully short.
After a brief sojourn in Holland to study Sanskrit, he moved to India.
It is often used with adjectives like "short" or "brief" to further emphasise the brevity of the visit or stay.
Note that this word is perfect for describing a temporary visit to a location (which can be a hotel, a friend's house, another country, etc.) but not really appropriate for running an errand at a grocery store, for example.
A whistle-stop is a very short visit. Lexico has
Very fast and with only brief pauses.
He enjoyed a whistle-stop tour of the deanery during which he met all the Anglican clergy.
So you could make a whistle-stop at your friend's house on your way to...
-> to pay a visit
It does not imply that the visitor keeps lingering there.
From the free dictionary:
pay a visit
pay (someone or something) a visit
To visit someone or something.
We need to pay Grandma a visit and see how her trip to Florida was.