Depends on which other location and whether the ascendant you have is early, late, or in the middle of its sign. You have to travel a good distance to drastically change it.
If you're talking about a neighboring town 20 miles away, there won't be any change. If you're talking about a few hundred miles, there might be, but it depends. If those miles are mainly north or south of the location you're starting with, the ascendant will only change by a degree or two, which won't change its sign placement unless it was right on the cusp and the shift is in the right direction to move into the other sign. A few hundred miles east or west will shift the ascendant much more. If you're talking about clear around the world, the ascendant will definitely change.
I'm talking about relocated charts here, where the birth time stays the same in Universal Time, which makes the moment of birth the same even if the time zone is different and the clock says something different. If you keep the clock time the same, the actual moment of birth changes if the time zone changes. For example, if the native was really born at 3:00 pm in California, relocating the birth to New York at 3:00 pm makes the birth take place three hours earlier, although in that case the ascendant wouldn't be far from the original. Keeping the birth time the same in Universal Time would change their birth time to 6:00 pm in New York, and the ascendant would definitely be in a different sign.