Most Helpful Guy
No. Not love. It can feel like love, yes, but it is a different emotion. It is caused by NRE, new relationship energy. Or, more correctly, by the chemicals released during NRE. This can happen fast, it can happen 'at first glance', where your brain is just flooded with chemicals (dopamine, norepinephidrine, phenylethylamine, serotonin). You are essentially getting high, you are being flooded with amphetamines, stimulants and painkillers at the same time.
This is why it can hurt so badly, so quickly. It can be as bad as going through hard drug withdrawal. NRE is an important step in developing the bonds over time that is needed for love to grow, but it is not love in and of itself. It can sure feel like it at the time though, and it can have an almost obsessive feel to it that makes it hard to shake.
What you are experiencing is essentially a chemical withdrawal in your brain.
Most Helpful Girl
You can fall for some in any amount of time. Love is that powerful. It can feel very much real to you even if you haven't been with the person for a long time. I know what it's like. I fall in love very rarely but when I do it's almost instantly and something I can't get over for a long time when it doesn't work out.