HI R, Prasanth (Cognizant) - Thanks for reaching out over Q&A Forum.
If you are working with Blob Storage, you can call Put Blob/Put Block/ Put Block List to upload the blobs
https://learn.microsoft.com/en-us/rest/api/storageservices/operations-on-blobs
If you are using ADLS Gen2, then you can leverage Create File, Append File and Flush File operation for uploading the file.
https://learn.microsoft.com/en-us/rest/api/storageservices/data-lake-storage-gen2
The below blog has steps for performing operation via CURL as well.
Hope this information helps! please let us know if you have any further queries. I’m happy to assist you further.
Please "Accept the answer” and “up-vote” wherever the information provided helps you, this can be beneficial to other community members