I couldn't find anything for this season, but Harrison Barnes had the fewest points with 1,000+ points in 2023-24, with 1,000 points.

Interpreted as:

fastest NBA player to 1000 or more points this regular season

	NAME	PTS	SEASON	TM	GP	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	REB	AST	STL	BLK	TOV	PF	+/-
1	Harrison Barnes H. Barnes	1,000	2023-24	SAC	82	29.0	12.2	3.0	1.2	0.7	0.1	4.2	8.9	47.4	1.8	4.7	38.7	1.9	2.4	80.1	61.1	0.8	2.2	0.7	2,381	249	99	54	12	58	98	-80
2	Jonas Valančiūnas J. Valančiūnas	1,002	2023-24	NOP	82	23.5	12.2	8.8	2.1	0.4	0.8	4.9	8.8	55.9	0.5	1.5	30.8	2.0	2.5	78.5	61.9	2.3	6.5	1.4	1,925	721	173	32	68	111	218	+158
3	Aaron Gordon A. Gordon	1,013	2023-24	DEN	73	31.5	13.9	6.5	3.5	0.8	0.6	5.5	9.8	55.6	0.5	1.9	29.0	2.4	3.7	65.8	60.7	2.4	4.1	1.4	2,297	471	259	56	45	105	142	+423
4	Buddy Hield B. Hield	1,013	2023-24	TOT	84	25.7	12.1	3.2	2.8	0.8	0.5	4.4	10.1	43.6	2.6	6.8	38.6	0.6	0.7	88.1	57.8	0.7	2.5	1.2	2,160	269	236	70	42	103	169	+65
5	Grayson Allen G. Allen	1,014	2023-24	PHX	75	33.5	13.5	3.9	3.0	0.9	0.6	4.5	9.1	49.9	2.7	5.9	46.1	1.7	2.0	87.8	67.9	0.6	3.3	1.3	2,513	295	227	69	45	95	157	+262
6	John Collins J. Collins	1,027	2023-24	UTA	68	28.0	15.1	8.5	1.1	0.6	0.9	5.8	11.0	53.2	1.3	3.4	37.1	2.2	2.7	79.5	62.1	2.3	6.1	1.4	1,901	575	77	40	62	98	191	-307
7	Darius Garland D. Garland	1,028	2023-24	CLE	57	33.4	18.0	2.7	6.5	1.3	0.1	6.6	14.8	44.6	2.3	6.2	37.1	2.6	3.1	83.4	56.0	0.5	2.1	3.1	1,901	152	373	74	7	176	95	+112
8	Anfernee Simons A. Simons	1,039	2023-24	POR	46	34.4	22.6	3.6	5.5	0.5	0.1	7.8	18.2	43.0	3.4	8.8	38.5	3.5	3.9	91.6	56.8	0.5	3.2	2.7	1,582	167	255	23	5	126	98	-330
9	Jabari Smith Jr. J. Smith Jr.	1,044	2023-24	HOU	76	31.9	13.7	8.1	1.6	0.7	0.8	5.0	11.0	45.4	1.8	5.0	36.3	2.0	2.4	81.1	57.1	1.8	6.3	1.2	2,424	616	121	52	61	89	200	-83
10	Kelly Oubre Jr. K. Oubre Jr.	1,049	2023-24	PHI	68	30.2	15.4	5.0	1.5	1.1	0.7	5.7	12.9	44.1	1.5	4.8	31.1	2.6	3.4	75.0	53.5	1.4	3.6	1.3	2,055	341	101	77	47	87	194	-24
11	Norman Powell N. Powell	1,056	2023-24	LAC	76	26.2	13.9	2.6	1.1	0.6	0.3	4.9	10.1	48.6	2.2	5.1	43.5	1.9	2.3	83.1	62.6	0.2	2.4	0.9	1,990	195	82	43	22	66	137	+213
12	Rudy Gobert R. Gobert	1,061	2023-24	MIN	76	34.1	14.0	12.9	1.3	0.7	2.1	5.3	8.1	66.2	0.0	0.0	0.0	3.3	5.1	63.8	67.6	3.8	9.2	1.6	2,593	982	102	52	162	119	238	+411
13	Corey Kispert C. Kispert	1,070	2023-24	WAS	80	25.8	13.4	2.8	2.0	0.5	0.2	4.8	9.9	48.6	2.3	6.0	38.3	1.4	2.0	72.6	62.0	0.4	2.4	1.2	2,067	225	156	41	16	98	141	-444
14	Keldon Johnson K. Johnson	1,084	2023-24	SAS	69	29.5	15.7	5.5	2.8	0.7	0.3	5.7	12.5	45.4	1.8	5.3	34.6	2.5	3.2	79.2	56.5	1.4	4.1	1.4	2,038	377	195	51	20	100	149	-347
15	Naz Reid N. Reid	1,090	2023-24	MIN	81	24.2	13.5	5.2	1.3	0.8	0.9	5.0	10.5	47.7	2.1	5.0	41.4	1.3	1.8	73.6	59.5	0.9	4.3	1.4	1,964	423	106	63	73	111	172	+248
16	Julius Randle J. Randle	1,102	2023-24	NYK	46	35.4	24.0	9.2	5.0	0.5	0.3	8.6	18.2	47.2	1.7	5.3	31.1	5.1	6.6	78.1	56.9	2.2	7.0	3.5	1,630	423	229	25	12	159	125	+219
17	Deni Avdija D. Avdija	1,102	2023-24	WAS	75	30.1	14.7	7.2	3.8	0.8	0.5	5.4	10.7	50.6	1.2	3.1	37.4	2.7	3.6	74.0	59.7	1.1	6.1	2.1	2,257	540	286	60	36	160	185	-330
18	Derrick White D. White	1,107	2023-24	BOS	73	32.6	15.2	4.2	5.2	1.0	1.2	5.3	11.5	46.1	2.7	6.8	39.6	1.9	2.1	90.1	61.1	0.7	3.5	1.5	2,381	310	377	74	87	112	152	+619
19	Malik Monk M. Monk	1,110	2023-24	SAC	72	26.0	15.4	2.9	5.1	0.6	0.5	5.5	12.4	44.3	2.1	5.9	35.0	2.4	2.8	82.9	56.4	0.4	2.6	2.1	1,872	212	370	45	39	150	156	+8
20	Dennis Schröder D. Schröder	1,122	2023-24	TOT	80	31.1	14.0	3.0	6.1	0.8	0.2	5.0	11.6	43.5	1.7	4.6	37.5	2.2	2.7	83.6	55.0	0.5	2.5	1.9	2,486	242	488	63	17	153	164	-126
21	Bobby Portis B. Portis	1,130	2023-24	MIL	82	24.5	13.8	7.4	1.3	0.8	0.4	5.7	11.2	50.8	1.2	3.0	40.7	1.2	1.5	79.0	58.1	1.7	5.7	1.1	2,008	607	104	68	34	91	189	-6
22	Jerami Grant J. Grant	1,132	2023-24	POR	54	33.9	21.0	3.5	2.8	0.8	0.6	7.1	15.7	45.1	2.1	5.1	40.2	4.7	5.8	81.7	57.3	0.7	2.9	2.1	1,830	191	152	45	34	116	117	-351
23	Tim Hardaway Jr. T. Hardaway Jr.	1,139	2023-24	DAL	79	26.8	14.4	3.2	1.8	0.5	0.1	5.0	12.4	40.2	2.7	7.6	35.3	1.8	2.1	85.2	54.2	0.3	2.9	0.9	2,120	254	139	42	6	69	106	+13
24	Kristaps Porziņģis K. Porziņģis	1,145	2023-24	BOS	57	29.6	20.1	7.2	2.0	0.7	1.9	6.8	13.2	51.6	1.9	5.1	37.5	4.5	5.3	85.8	64.7	1.7	5.5	1.6	1,690	409	115	42	111	89	156	+417
25	Immanuel Quickley I. Quickley	1,156	2023-24	TOT	68	29.2	17.0	3.8	4.9	0.7	0.1	5.7	13.1	43.4	2.5	6.4	39.5	3.1	3.6	85.3	57.7	0.3	3.6	1.5	1,985	259	331	50	10	101	119	-34