For playing around, no. My GPU is 9 years old and has 8GB VRAM. I generating my 384x512 profile picture with KoboldCPP (Vulkan) and Z-Image-Turbo model locally.
I just regenerated my profile picture with KoboldCPP a bit differently. I used some clearer LoRA configurations than I did initially. For Z-Image-Turbo it’s CFG 4 and for Flux2 Klein 4b CFG 1, both used Euler. For Anime V1 LoRA I started with anime illustrious, and for Koni Animestyle LoRA with anime_style, . :
384×512 & Z-Image-Turbo & Anime V1 & 8 steps (2min 42s):

384×512 & Z-Image-Turbo × Anime V1 & 25 steps (8min 16s):

384x512 × Flux2 Klein 4b × Koni Animestyle × 4 steps (22s):

384x512 × Flux2 Klein 4b × Koni Animestyle × 8 steps (35s):

384x512 × Flux2 Klein 4b × Koni Animestyle × 25 steps (1min 28s):

Upscaling it with RealESRGAN x4plus anime 6B upscaler only takes 10 seconds longer with this dimension.
KoboldCPP outputs how long generation takes like:
[11:09:15] Generating Image (8 steps)
|==================================================| 480/480 - 0.00MB/s
|==================================================| 480/480 - 0.00MB/s
|==================================================| 480/480 - 810.94MB/s
|==================================================| 480/480 - 0.00MB/s
|==================================================| 8/8 - 19.64s/it
[11:11:57] Generating Media Complete