It's completely ok for you, but I have yet to find a UK based broker that will let you (with an edge exception), for two reasons:
1. Very few UK brokerages want to deal with US citizens at all. Hargreaves Lansdown, AJ Bell (for only some account types), and Interactive Brokers are about it, as far as I know.
2. UK MiFiD rules (inherited from the EU) prohibit UK residents from buying ETFs that don't publish a Key Information Document. No US funds do so.
Exception: if you can meet the Professional Investor requirements, Interactive Brokers will recognize that and let you buy US ETFs. That's 2 of a) 10+ transactions per quarter over the past 4 quarters b) portfolio >500kEUR c) working in a relevant part of the financial sector.
Other workaround: buy options on the ETFs you want and exercise them.