Not unless you use Single Point Diamond Turning like wot I do.
You need:
1) A diamond turning lathe, vibration isolated and temeprature controlled with air bearing spindle and slideways (optical encoders for linear positioning)
2) MONOCRYSTALINE gem quality diamonds (see Contour Fine Tooling)
3) For Acrylic- zero degree top rake and 15 deg front clearance on the tool.
4) CAST acrylic (not extruded).
5) Correct depth of cuts and feedrates.
6) Spray coolant optional. personaly I just use air.
Here's some I made earlier (no post polishing, straight off the lathe)
[Edit] Oh, these tools cost about 300 to 700 quid each depending on spec. If you use it on a normal machine you WILL wreck the tool. If you set the tool above part centre or past centre you WILL wreck the tool. If you touch the diamond cutting edge you WILL wreck the tool. Sometimes they can be resharpened at about 30 quid each and 3 week lead time.[/Edit]
If you want more info lemme know.
I love deadlines- I like the whooshing sound they make as they fly by.