Yes, you can absolutely continue to apply for an F-1 visa to attend a U.S. university other than Harvard. The suspension of F-1 student visas for Harvard students due to the Trump administration's policies does not apply to all U.S. universities. You can still apply for a student visa for the USA from India to attend a different institution. The F-1 visa USA process remains intact for students pursuing their education at accredited U.S. universities, provided they meet the necessary requirements.

The U.S. student visa requirements are straightforward and include factors like having an I-20 form issued by a U.S. educational institution, proof of financial ability to cover tuition and living expenses, and a valid passport. When applying for an F-1 student visa, you must submit the DS-160 form, pay the visa application fee, and schedule an interview through the US visa scheduling India portal. The interview process generally requires you to provide your academic records, proof of intent to return to India after completing your studies, and documents supporting your financial stability.

https://eduprofound.com/trump-suspends-harvard-visas-impact-on-indian-students/