Yes, I believe you have fair chances to secure Biomedical Engineering or Biotechnology at VIT Vellore in Category 1, with a Rank of 38783 in VITEEE. VIT is one of the best Private Universities in India having excellent faculty, infrastructure and research facilities. It is one of the Only Private Institutions having an excellent Biotech Department with strong focus on Biomedical Technology, Bioinformatics, Biomaterials, Genetic Engineering and other domains.

For more information and VIT Cutoffs do follow the link below

https://engineering.careers360.com/articles/viteee-cutoff