NO.
Get some experience first.
1. Instruct if you want. Not everyone will make a good instructor, but getting your CFI stuff and teaching will make you a better pilot. I did 1500 hours as CFI, CFII, MEI.
2. Fly traffic watch, banners, pipeline, etc. Get a time building job. I did traffic watch for 1500 hours in a C172. (1200 per year).
3. Fly corporate. Single or multi, left or right seat. I got my first "job" right seat in a Cheyenne 400LS, which is a single pilot airplane, but I learned a lot. Plus, they trained me and I did a Part 135 Charter SIC checkride with the FAA. I wasn't just sitting there in the right seat. I also have flown the following aircraft for various companies as PIC: Cheyenne II, C182, Bonanza A36/B36TC, Mooneys, and Saratoga. I got hundreds of hours in singles and twins.
4. Get on with a freight carrier. Fly piston singles and twins, then turboprops.
5. Then try a regional airline. I know times have changed, but I had almost 4000 hours when I got to a regional. Then I did 1000 hours SIC turboprop, 1000 hours PIC turboprop, and 5000 hours PIC jet. It's not easy getting out of the regionals to a major!
6. Get on with a major. Fly what you want. Upgrade when you want. Fly until you're 60-65ish and retire.
Good luck.