I wouldn't.
Do you have a loading manual? (if not GET ONE!) One that has little drawings of the cases, with the dimensions on it.
Unless otherwise specified, assume the dimensions shown for the cases are the maximum allowed.
The .45 Colt case is straight, .480" at the mouth with no taper, so .480" at the case head above the rim.
The .45ACP case is tapered, .473" at the mouth tapering to .476" at the case head.
Generally speaking, sizing dies do not return the fired cases to max size specs, they usually squeeze the cases down to a bit below minimum specs,
so using a .45ACP sizer die for .45 Colt brass is essentially, shoving a tube that's supposed to be .480" into a hole that is .473", and then pulling it back out. Does that sound like a good idea?
Dies that do .38spl & .357, .44 Spl & .44 magnum use one sizer die because both the special and magnum cases are straight and the same diameter. Using .45 ACP sizer on .45 Colt brass is using a die for a tapered case .007" smaller in diameter than the Colt case is supposed to be.
Get the right dies for the caliber you're going to load. If you don't screw them up, they'll out last you. If you've the cash to pay for convenience, spend the extra bucks and get a die set with a carbide sizer. For me, not having to lube cases over the lifetime of use is worth a few more bucks up front.
I'm not a fan of Lee dies. They work, and usually they're the cheapest out there. I just don't care for their features. By choice, I use Lyman or RCBS, but that's a personal preference.